Chain Rule and Implicit Differentiation

Chain Rule and Implicit Differentiation

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the chain rule used for in calculus?

Back

Finding the derivative of a composite function.

2.

FLASHCARD QUESTION

Front

Find dy/dx at the given point: x^3 + 2xy - y^2 = 11 at (2,3)

Back

9

3.

FLASHCARD QUESTION

Front

Use implicit differentiation to find y' for the equation: 4x cos(y) = 1

Back

y' = cos(y) / (x sin(y))

4.

FLASHCARD QUESTION

Front

Find f '(x) if f(x) = x^4 sin(x)

Back

f '(x) = x^4 cos(x) + 4x^3 sin(x)

5.

FLASHCARD QUESTION

Front

Find dy/dx by Implicit Differentiation: x^3 + y^3 = 36

Back

dy/dx = -x^2 / y^2

6.

FLASHCARD QUESTION

Front

State the formula for the chain rule in differentiation.

Back

If y = f(g(x)), then dy/dx = f'(g(x)) * g'(x).

7.

FLASHCARD QUESTION

Front

What is implicit differentiation?

Back

A technique to find the derivative of a function defined implicitly by an equation.

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