d sin x 1 dt| = dx et + 5 cO X 1 1 1 (A) esinx + 5 (B) e* + 5 (C) (esinx + 5) cos x (D) e sin x

Q: Let f(x) = 3 cos a - 2 tan a f'(x) = r() - C f'

A:

Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: Find f'a) for f(x)= =Sinx 1- Cos X %3D

A: We have to find the derivative of the given function.

Q: | 1' cos(T +1) dr. COS

A: using the integration by parts

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: f(x) = 5 sin²(x) Hint: Use sin2(x) = -(1 – cos(2x))| %3D %3D n = 1 8.

A:

Q: Let f(z) = (9 sin z + 2 cosz)tan¹z

A:

Q: et f(x)=-11sin x+3 cos x f' (x)=?

A: f(x)=-11sin x+3 cos x this is given  we have to differentiate the function  dsinx/dx = cosx…

Q: Find f if f" (x) = 2 + cos(x), f(0) = -8, f(T/2) = 8. *(x) :

A:

Q: ,2 Compute x² cos(x³ + 3) dx

A:

Q: Can you find f

A:

Q: Let f(x) = – 7 cos(cos æ) %3| f'(x) =

A:

Q: Let f(x) (3 sin a + 2 cos x)tanx f' (x) =

A:

Q: Find f. f"(x) = cos(x), f(0) = 1, f'(0) = 8, f"(0) = 6 f(x) = sin x + 7x/2 + 7x +8|

A: We will first find the general solution of f"'(x)=cos(x)