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Find the derivative of the function. 1) y = 8cos10x

Question : Find the derivative of the function. 1) y = 8cos10x : 2163387

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the derivative of the function.

1) y = 8cos10x

A) (dy/dx) = 80sin10x

B) (dy/dx) = -80sin10x

C) (dy/dx) = -8sin10x

D) (dy/dx) = 10sin10x

2) y = 5sin(5x - 5)

A) (dy/dx) = 5cos(5x - 5)

B) (dy/dx) = -5cos(5x - 5)

C) (dy/dx) = 25cos(5x - 5)

D) (dy/dx) = 5sin(5x - 5)

3) y = sin9x

A) (dy/dx) = 9cos9x

B) (dy/dx) = cos9x

C) (dy/dx) = cosx

D) (dy/dx) = 9cosx

4) y = 6sinx3

A) (dy/dx) = xcosx3

B) (dy/dx) = 18x2cosx2

C) (dy/dx) = 18x2cosx3

D) (dy/dx) = 18x3cosx3

5) y = cosx4

A) (dy/dx) = -4x4sinx4

B) (dy/dx) = sinx4

C) (dy/dx) = 4sinx4

D) (dy/dx) = -4x3sinx4

6) y = cos(8x2 + 8)

A) (dy/dx) = -16sin8x2

B) (dy/dx) = 16xsin(8x2 + 8)

C) (dy/dx) = sin(8x2 + 8)

D) (dy/dx) = -16xsin(8x2 + 8)

7) y = 2sin2xcosx

A) (dy/dx) = sin2xsinx + 4cosxcos2x

B) (dy/dx) = -2sin2xsinx + cosxcos2x

C) (dy/dx) = 2sin2xsinx + 4cosxcos2x

D) (dy/dx) = -2sin2xsinx + 4cosxcos2x

8) y = cose-5x

A) (dy/dx) = 5sine-5x

B) (dy/dx) = e-5xcose-5x

C) (dy/dx) = 5e-5xsine-5x

D) (dy/dx) = -5e-5xsine-5x

Differentiate.

9) (sinx)7

A) 7(cosx)6sinx

B) 7(cosx)6

C) 7(sinx)6

D) 7(sinx)6cosx

10) sinx5

A) 5xcosx5

B) 5x4cosx5

C) 5sinx4

D) 5(sinx)4cosx

11) sin√(x4 - 1)

A) (2x3cos√(x4 - 1)/√(x4 - 1))

B) 4x3sin(1/√(x4 - 1))

C) (1/2)sin(1/√(x4 - 1))

D) cos√(x4 - 1)

12) ex^3sinx3

A) 3x2(ex^3 + cosx3)

B) 3x2ex^3(sinx3 + cosx3)

C) 3x(ex^3 + cosx3)

D) ex^3(sinx3 + cosx3)

13) (sin3t)2

A) 6sin3tcos3t

B) 2sin3t

C) 2sin3tcos3t

D) 6sin3t

E) none of these

14) (sinx/cosx)

A) (1/cos2x)

B) 1

C) - (cosx/sinx)

D) (sin2x/cos2x)

15) (sinx/x)

A) cosx

B) (cosx/x)

C) (1/x)cosx - (1/x2)sinx

D) none of these

16) cos2tcos3t

A) -2sin2tcos3t - 3cos2tsin3t

B) 2sin2tcos3t + 3cos2tsin3t

C) - sin2tcos3t - cos2tsin3t

D) none of these

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

17) xsinx

18) cos2xsin3x

Enter cosine before sine in all terms, no parentheses around the arguments.

Solution
5 (1 Ratings )

Solved
Calculus 3 Months Ago 52 Views
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