Derivatives of Trigonometric Functions Worksheet

Practice worksheet for Grade 12 Calculus students on finding derivatives of trigonometric functions, including chain rule applications.

Grade 12 Math CalculusDerivatives of Trigonometric Functions

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3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HS.C.A.2CCSS.MATH.CONTENT.HS.C.A.3

Topics

CalculusDerivativesTrigonometryGrade 12Math

8 sections · Free to use · Printable

Derivatives of Trigonometric Functions

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Read each question carefully and find the derivative of the given trigonometric function. Show all your work.

1. Find the derivative of f(x) = 3sin(x) - 2cos(x).

2. Differentiate g(x) = tan(x) + cot(x).

3. Find the derivative of y = sin(x² + 5x).

4. Differentiate h(x) = cos(eˣ).

5. The derivative of sec(x) is .

6. If f(x) = csc(x), then f'(x) = .

7. Which of the following is the derivative of y = tan(3x)?

sec²(3x)

3sec²(3x)

sec(3x)tan(3x)

3sec(3x)tan(3x)

8. Find the derivative of y = x² sin(x).

9. Differentiate f(x) = (cos(x))/(x).

10. The derivative of y = sin(2x) is 2cos(2x).

True

False