If g(x) f'(x) and if g(x) (cos x - x sin x)e*cosx, then f g(x) tan(f(x))dx is x cosx In(e*cosx) +€ sec²(e*cosx) + C ecos x + G-

Q: Find f'(x) for f(x) = A f'(x) - B f'(x) = © f(x)= 2x+cos²x tanx 2-2sinxcosx tanx 2x+cos²x sin²x…

A: Given: The function fx=2x+cos2xtanx Find the derivative of the given function Formula used: The…

Q: 5. Use the chain rule to compute the derivatives. a) f(x) = sin²x = (sin x)² b) f(x) = sin(x²) c)…

A:

Q: f(x) = sec(x) tan(x), then f'(3t) =

A: First derivate then put the value

Q: Find f' (x), if f(x) = sin(2x* – sin(x))

A:

Q: Suppose f(x) = 3*sec(3*) tan( 3*). Evaluate: / s(x)dx sec(3*) A +C In (3) 3*. sec(3*) +C B In (3) ©…

A:

Q: Given f(x) = cotx 1 - csc x " then f'(x) = = 1 g(x) - 1 Find g(x).

A:

Q: If f(x) = f'(x) = ƒ'(1) = = 2 sin x 3 + cos x > 3 cos (1) () then 3 cos (x) + sin(x) (3 + cos x)² X…

A:

Q: Let f(x) = f'(x) = - - 9 cos x + 4 tan x ƒ'( - 7) = =

A:

Q: f(x)=x+sinx / x2+cosx f '(x)=?

A: Given function: Now,

Q: Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2…

A:

Q: Let h(x)= f(g(x)) where f(x)=tanx. Then h'(x)= a) f'(tan x) g'(x) b) g'(x)tan(g(x)) c) g(x)…

A:

Q: Find f'(x) if f(x)= e®* cos 4x .

A:

Q: Find f'(x) if f(x) = tan-1 2x sec²(x) 1 1+x² 2x 1+x² 2x 1+x¹ 2x 1+x² 1-¹ (x²).

A:

Q: Identify which of the following functions require chain rule application to obtain their…

A: Chain rule is applicable for Composition of two functions only

Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

A:

Q: f' (x) = r(농) =

A:

Q: cos( 2 sin' ( x/ 11)) = Select one: O( 2x2 - 121 )/ 121 O(121 - 2x2 )/ 121 O 22 x/( 121 - x ) O 2x (…

A:

Q: Let f'(x) = f(x) = V cos(eztsin(2=)) 4.

A:

Q: Differentiate. f'(0) f(0) sin(8) 1 + cos(0) 1 + cos (0) cos(0) - sin(0)(-sin()) (1 + cos(8))²

A: .

Q: If f(x) = f'(x) = = f'(4) = 3 tan x, then -sin(x) - 3 sec²(x) COS X >

A: we need to find out the derivative for the given function

Q: IF g(x) = sin(x), then g'(x) = cos (x) 9₁ (3) = IF F(X) = (sin x + 8 cos x, then F'(x) = 6 COS (X) -…

A: Since you have posted a question with multiple question, we will solve first two question for you…

Q: Choose the correct graph of G(x) = } cos (x - 4): %3D 2 1 27 -1 -2

A:

Q: Suppose f (x) =5"sec2(5*). Evaluate: tan (5*) + C In (5) (A) 5*. tan (5) B +C In (5) In (5) · tan…

A: Put 5x=t then integrate it.

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: Note: As per company guidelines we solve only first three subparts when multiple parts question…

Q: If f(z) = cosz - 3 tanz, then f'(z) = -sin(x) - 3 sec²(x) f'(2) =

A: