Derivatives of Trigonometric Functions Worksheet
Practice worksheet for Grade 11 students on finding derivatives of trigonometric functions.
Includes
2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False
Standards
CCSS.MATH.CONTENT.HS.CALC.A.2CCSS.MATH.CONTENT.HS.CALC.A.3
Topics
CalculusDerivativesTrigonometryGrade 11
7 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 $f(x) = 3 \sin(x) - 2 \cos(x)$.
2. Differentiate $y = \tan(x) + \sec(x)$.
3. The derivative of $f(x) = \cot(x)$ is $f'(x) = $ .
4. If $y = \csc(x)$, then $\frac{dy}{dx} = $ .
5. Which of the following is the derivative of $f(x) = \sin(2x)$?
a
$2 \cos(2x)$
b
$\cos(2x)$
c
$-2 \cos(2x)$
d
$-\cos(2x)$
6. Find the derivative of $g(x) = x^2 \tan(x)$.
7. Differentiate $h(x) = \frac{\sin(x)}{x}$.
8. The derivative of $f(x) = \cos(x^2)$ is $f'(x) = -\sin(x^2)$.
T
True
F
False