All rules covered.
Power, product, quotient, chain, plus trig, exponential, and log derivatives. AskSia picks the right rule for each piece.
Rule-aware
AI Solver by AskSia
Derivative Solver: every rule, every step
Type or photograph any function. AskSia identifies which rule applies (power, product, quotient, chain) and shows every step, including simplification. Higher-order and implicit derivatives supported.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
98% · Verified
Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
How do you find a derivative?
The derivative of a function f(x) measures its instantaneous rate of change. Standard rules: power rule for x^n, product rule for f*g, quotient rule for f/g, chain rule for compositions f(g(x)). Trig, exponential, and log functions have their own formulas. For complicated functions, identify the outermost structure and work inward, applying one rule at a time until you reach elementary pieces.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Derivative.
Every step transparent, every answer self-checked.
Chain rule shown.
For compositions, AskSia identifies the outer and inner functions and applies the chain rule explicitly with both factors visible.
Chain rule
Simplification at the end.
After differentiation, AskSia combines like terms and factors when possible to give a clean final expression.
Clean
Higher-order on request.
Second, third, or higher derivatives by repeated differentiation. Each level appears separately.
Higher-order
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
Multi-modal input
Verified by AskSia.
Every answer gets a self-check pass. Sia catches sign errors and algebra mistakes before you submit your homework.
Self-checked
How It Works
Solve any Derivative problem in three steps.
Step 01
Enter the problem.
Type the expression, paste from your homework, snap a photo, or speak it. AskSia parses your input and identifies the structure.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Based on the problem structure, AskSia chooses the cleanest solution path and labels each step with the operation performed.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the verified answer.
Final result appears with a substitution or composition check. Practice problems on the same concept are one tap away.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On
Solve anywhere
you study.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Derivative solver covers.
Polynomial derivatives.
Power rule on x^n. AskSia handles polynomials of any degree including negative and fractional exponents.
Polynomial
Product and quotient.
f * g and f / g formulas applied with each piece's derivative shown.
Calc 1
Chain rule.
f(g(x)) like sin(x^2) or e^(3x+1). AskSia identifies outer and inner.
Composition
Implicit differentiation.
For x^2 + y^2 = 25, differentiate both sides and solve for dy/dx.
Implicit
Trig, exp, log.
Derivatives of sin, cos, tan, e^x, ln x and their compositions.
Transcendental
Verify your homework.
Paste your candidate answer and the original problem. AskSia walks the work, flags any divergent step, and tells you the correct final value.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
Which rule does AskSia choose first?
AskSia identifies the outermost structure of the expression. If it is a sum, differentiate term by term. If a product, apply the product rule. If a quotient, the quotient rule. If a composition, the chain rule. Each piece is then differentiated by the appropriate rule, working inward until elementary functions are reached.
Does AskSia handle implicit differentiation?
Yes. For an equation like x^2 + y^2 = 25, AskSia differentiates both sides with respect to x, applies the chain rule to terms containing y (multiplying by dy/dx), and solves the resulting equation for dy/dx. The answer is typically expressed in terms of x and y.
Can I get the second or third derivative?
Yes. After the first derivative, request additional differentiation and AskSia applies the rules again. Higher-order derivatives are useful for concavity, inflection points, and Taylor series. Each level appears on a separate line.
How does the chain rule appear in the output?
For a composition f(g(x)), AskSia writes the derivative as f'(g(x)) * g'(x) with both factors computed and shown. Labels indicate which is outer and which is inner, so the rule pattern is reinforced each time.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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Every rule. Every step. Every simplification.
Join 2M+ students using AskSia to solve derivative problems step-by-step. Photo input, plain-English explanations, and a verification check on every solve.
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