Sign in to unlock the answer

Answer from Sia

Posted 2 months ago

Solution by Steps

step 1

Given $y = x^2$, we need to find $\frac{dy}{dt}$

step 2

To find $\frac{dy}{dt}$, we use the chain rule: $\frac{dy}{dt} = \frac{dy}{dx} \cdot \frac{dx}{dt}$

step 3

First, we differentiate $y = x^2$ with respect to $x$: $\frac{dy}{dx} = 2x$

step 4

Now, we multiply by $\frac{dx}{dt}$: $\frac{dy}{dt} = 2x \cdot \frac{dx}{dt}$

Answer

$\frac{dy}{dt} = 2x \cdot \frac{dx}{dt}$

Key Concept

Chain Rule

Explanation

The chain rule is used to differentiate a function with respect to a variable that is itself a function of another variable.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question