sin.x 14. What is y" if y=1-cosx A) y'= B) y'= -COS.X (1 – cosx)? sinx (1-cos.x)² C) y'= D) y'= -sin.x (1−cosx)? COSX (1-cos.x)²

Q: 6. S sin x In(1 + sin x) dx

A:

Q: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

A:

Q: . Differentiate each function. a) y= cos'x b) y= sin(x³)

A:

Q: Differentiate. f(x) = x cos(x) sin(x) (please write it out on paper)

A:

Q: 2 + sin x Differentiate Y x + cos

A:

Q: |tan' x.sec x.dr = tan x +C %3D

A: This question is based on indefinite integral.

Q: 3. S In(cos x) tan x dx

A:

Q: cos(In x) dx =? A 1/(sin 1) B sin 1 1/(cos 1) D sin(e)

A: Given integral can be evaluated as shown below

Q: 1. cos x 1 - sin x = sec x + tan x

A:

Q: Differentiate y with respect to a y cos²(a) + y sin²(a) = (cos(a)+37)² Select one: O a. y' =…

A: ycos2a+ysin2a=cosa+372

Q: Compute y' for y=√(3x++ e - 3x) 8 A (В B D Say 3 24 y = ²4 (4x³ - e-³x) (3x + + e-³x) ³ 5 3 8…

A:

Q: cos² (In x) sin²(In x)

A: Given: I=∫cos2(lnx)sin2(lnx)xdx

Q: Find y' for y=3 sin?x+3 cosx. A O .BO 5 .CO sinx .D O cos x

A: using formula for first derivative of trignometric function

Q: Given f''(T) 9 sin(3r) and f'(0) 6 and f(0) = 3. Find f 2.

A: Given f"(x)=-9sin(3x) and f'(0)=-6 and f(0)=3

Q: Differentiate. f(0) = sin(8) 1 + cos(8)

A:

Q: Differentiate. f(0) = 0 cos(0) sin(0)

A:

Q: at (x = })? dy Csc(3x) Sin(3x) + Cos(x), Find Let y =

A: The given function is: y=csc(3x)sin(3x)+cos(x)  =csc2(3x)+cos(x) To find the derivative of it:…