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Derivatives of Trigonometric Functions & Chain Rule Flashcards | StudBud

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Derivatives of Trigonometric Functions & Chain Rule

8 terms·StudBud Administration·35 plays

A quiz for calculus students to determine the derivatives of trigonometric functions, using the power rule and the chain rule.

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Questions 8

Answers

1
What is the derivative of the function cot(2x²)?
- 4x csc(2x2)cot(2x2)
- 4 csc2(2x2)
- 4x csc2(2x2)
- 4 csc(2x2)cot(2x2)
2
What is the derivative of the function cos²(3x)?
-2sin(3x)cos(3x)
6sin(3x)cos(3x)
-3sin(6x)
- 6sin(3x)cos(3x)
3
What is the derivative of the function tan(x⁵)?
tan(5x4)
- 5x4(csc2(x5))
5x4(sec2(x5))
5x4 (sec(x5))
4
What is the derivative of the function sec⁶(2x)?
6(sec5(2x))sec(2x)tan(2x)
6x(sec5(2x))sec(2x)tan(2x)
12(sec5(2x))sec(2x)tan(2x)
3(sec5(2x))sec(2x)tan(2x)
5
What is the derivative of the function csc³(2x)?
-6x csc2(2x)
-3x csc2(2x)(csc(2x)cot(2x))
-3 csc2(2x)(csc(2x)cot(2x))
-6 csc2(2x)(csc(2x)cot(2x))
6
What is the derivative of the function sin (3x)?
- 3cos (3x)
3cos (3x)
cos (3x)
- 3sin (3x)
7
What is the derivative of the function cos(3x²)?
- 3 sin(3x2)
- 6 sin(3x2)
- 6x sin(3x2)
6x cos(3x2)
8
What is the derivative of the function sec(5x²)?
- 10 (sec(5x2)tan(5x2))
- 10 (csc(5x2)cot(5x2))
10x (sec(5x2)tan(5x2))
- 10x (sec(5x2)tan(5x2))