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Chain Rule Practice

Chain Rule Practice

Assessment

Flashcard

•

Mathematics

•

12th Grade

•

Hard

Created by

Wayground Content

FREE Resource

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4 questions

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1.

FLASHCARD QUESTION

Front

What is the Chain Rule in calculus?

Back

The Chain Rule is a formula for computing the derivative of the composition of two or more functions. It states that if you have two functions f and g, the derivative of their composition f(g(x)) is given by f'(g(x)) * g'(x).

2.

FLASHCARD QUESTION

Front

Differentiate ex3e^{x^3} using the Chain Rule.

Back

The derivative is 3x2ex33x^{2}e^{x^3} .

3.

FLASHCARD QUESTION

Front

Differentiate f(x)=(9−4x2)−1f(x) = (9 - 4x^2)^{-1} using the Chain Rule.

Back

The derivative is 8x(9−4x2)2\frac{8x}{(9-4x^2)^2} .

4.

FLASHCARD QUESTION

Front

Differentiate f(g(x))f(g(x)) where f(x)=ln(x)f(x) = ln(x) and g(x)=sin(x)g(x) = sin(x) .

Back

The derivative is @@ rac{ rac{d}{dx}g(x)}{g(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d}{dx}sin(x)}{sin(x)} = rac{ rac{d

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