Chain Rule Practice

Chain Rule Practice

Assessment

Flashcard

Mathematics

University

Practice Problem

Hard

CCSS
HSF.IF.A.2

Standards-aligned

Created by

Wayground Content

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15 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 a function f(g(x)), the derivative is f'(g(x)) * g'(x).

2.

FLASHCARD QUESTION

Front

Find the derivative of f(x) = (x^6 + 4)^5.

Back

f '(x) = 30x^5(x^6 + 4)^4.

3.

FLASHCARD QUESTION

Front

When do you use the Chain Rule?

Back

You use the Chain Rule when there is a function within another function.

4.

FLASHCARD QUESTION

Front

What is a derivative?

Back

A derivative represents the rate of change of a function with respect to a variable.

5.

FLASHCARD QUESTION

Front

What is another way to describe a derivative?

Back

Slope of the tangent line.

6.

FLASHCARD QUESTION

Front

Find the derivative of p = 1/√(q + 9).

Back

dp/dq = -1/(2(q + 9)^(3/2)).

7.

FLASHCARD QUESTION

Front

What is the derivative of f(g(x))?

Back

f '(g(x))g'(x).

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