g(x) = ex (cos ex – ex sin e)

Q: Let f(x) = 9 cos(sin(z°)). %3D Then f'(x),

A: Using the chain rule of differentiation,

Q: QI) Show that: (a) (1+x)° =1+6x (b) (cosx) = –sinx dx

A: 1.  a  1+x6≅1+6xb  ddxcos x=-sin x

Q: g(x) = 4ecoN " sin x, (0, ] COS

A: Given data:   The given function is: g(x)=4ecosxsinx The given interval is: [a,b]=[0,π].   The…

Q: Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B.…

A: ∫cos3xsinxdx

Q: Let f(x) - 6 cos 6 cos° x f '(x) =

A:

Q: f(x) = 2 sin(cos z)

A: Given,           y = 2 sin(cos x)

Q: integrate (cos (x)/(sin(X)-cos(x))

A: Integration is a technique of finding a function  the derivative of which, , is equal to a given…

Q: The range of f(x)= cosx is: *

A: Cosx is a trigonometric function with period 2π.

Q: (tan V) (sec V) b) Evaluate dx

A: Given integral: I=∫tan4(x)sec2(x)xdx

Q: If f(x) = cos(2x), then f"|

A:

Q: Determine f " (x) a. f(x) = cot (4x) + csc (x) b. f(x) = sin2 (x) tan(x)

A: Given a. f(x)=cot4x+cscxb. f(x)=sin2xtanx

Q: Find the area of each circle, given the radius r or the diameter d. Leave your answer in tems of t.

A: See the detailed solution below.

Q: Find f"(0) = sin(0) + cos(0), f(0) = 1, f'(0) = 3 f(0) = %3D Need Help? Read It Watch It

A:

Q: If f(x) = e cosT, the second derivative f"(x) is:

A: The given function is fx=ex cosx. Evaluate the first derivative of the given function as follows.…

Q: g(x) = tan(sin²(x)) + e², +e?

A:

Q: f(x) = 2 tan x Ꮖ

A: f(x)=2tan⁡xx

Q: Let f(x) = 3 cos(x) sin¬(x). Find f' (x). f'(x) =

A:

Q: Lim メートo Cos aX Cos bX

A:

Q: Let f(x) = (8 sin a + 4 cos x)tan %3D f'(2) = %3D

A:

Q: -1 Let f(x) = tan-¹ e²². Find f" (x).

A: The solution is given below

Q: cot(sec(x) -1 cot\sec

A: on  simplifying we get

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

A:

Q: Find f'(z) if f(z) = 8 cos(z) + 9 sin(z). Answer

A:

Q: Let f(x) 3 sin(cos x) = f'(x) =

A: Using chain rule of differentiation.

Q: What are the derivatives of sin g(t), cos g(t), and tan g(t)?

A: we have to find the derivatives of sin g(t), cos g(t), and tan g(t)