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Chain Rule Practice Worksheet

A Grade 12 Calculus worksheet focusing on applying the Chain Rule to various functions, including trigonometric, exponential, and polynomial functions.

Grade 12 Math CalculusChain Rule
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSF.BF.B.4.A

Topics

CalculusChain RuleDifferentiationGrade 12Math
8 sections · Free to use · Printable
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Chain Rule Practice Worksheet

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Read each question carefully and show all your work. Apply the Chain Rule to find the derivative of each function.

1. Find the derivative of the function f(x) = (3x² + 5)⁴.

2. Differentiate g(x) = √(2x - 7).

3. The derivative of h(x) = sin(4x) is  .

4. If k(x) = cos(x³), then k'(x) =  .

5. What is the derivative of y = e^(2x+1)?

a

e^(2x+1)

b

2e^(2x+1)

c

(2x+1)e^(2x)

d

e^(2)

6. Find the derivative of f(x) = (x² + 1)³ * (2x - 3)².

7. The derivative of y = ln(x²) is 2/x.

T

True

F

False

8. The volume of a spherical balloon is increasing at a rate of 10 cm³/s. How fast is the radius increasing when the radius is 5 cm? (Hint: V = (4/3)πr³)