Give me common formula in derivative

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∻Solution by Steps∻ ‖ step 1 ⋮ To find the derivative of the function $ Y^2/x $ with respect to $ x $, we apply the quotient rule. ‖ ‖ step 2 ⋮ The quotient rule states that $ (f/g)' = (f'g - fg')/g^2 $, where $ f = Y^2 $ and $ g = x $. Since $ Y $ is treated as a constant with respect to $ x $, $ f' = 0 $. ‖ ‖ step 3 ⋮ Applying the quotient rule, we get $ (Y^2/x)' = (0 \cdot x - Y^2 \cdot 1)/x^2 $. ‖ ‖ step 4 ⋮ Simplifying the expression, we obtain $ -Y^2/x^2 $. ‖ ‖ step 5 ⋮ We must note that $ x \neq 0 $ for the function to be defined. ‖ ∻Answer∻ ⚹ $ -Y^2/x^2 $ (with the condition that $ x \neq 0 $) ⚹ ∻Key Concept∻ ⚹Quotient Rule in Differentiation⚹ ∻Explanation∻ ⚹The quotient rule is used to differentiate functions that are ratios of two differentiable functions. In this case, $ Y^2 $ is the numerator and $ x $ is the denominator.⚹◊What is the formula for finding the derivative of a power function, $f(x) = x^n$, where $n$ is a constant?⍭ Generate me a similar question◊

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