Given f'(z) = 5 cos z - 11 sin z and f(0) find f(z) =

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

A: Using the chain rule of differentiation,

Q: Find f. f(0) = = f"(0) = sin(0) + cos(8), f(0) = 3, f'(0) = 2

A: f"θ=sinθ+cosθ Integrating both sides  ∫f" θdθ=∫sinθdθ+∫cosθdθ f'θ=-cosθ+sinθ+C..... (i)  Put θ=0…

Q: Given f''(x) = - 16 sin(4x) and f'(0) Find f ¹ƒ(3/3) = = 6 and f(0) = - 5.

A: SOLUTION-

Q: Find F(t) such that F'(t) = sec³ (t) tan³ (t) and F (3) = 0.

A:

Q: If f(t) = 2 - 9t cos t find f'(0).

A: Given :ft=2-9tcost

Q: Let f(r) = cos(4r + 4). f'(x) =-4 sin(4r -4) f'(2) = | 0

A: Solve the given problem.

Q: Let h(y) = 20 cos y – 3 sin y. Then h'(y) =

A:

Q: The function f(x) = a sin x + b cos x + c satisfies f"(x) = cos x – 2 sin x, f'(0) = f(0) = 2. Find…

A: a=2 b=-1 c=3

Q: find y'. (show all the steps please) cos(xy) = x-y^2

A:

Q: Find y' : In(cos² 3x) = e*+y + sin-1 y

A:

Q: f(x) = 10 sin x + 9 cos x f'(x) = %3D %D

A:

Q: Consider a function f(x) where f" (x) = 5ª (ln 5)² + sin(- a) Find f"(x) dæ. b) Assume that f(0) = 9…

A: with the help of integration  properties we will evaluate the above function detailed solution is…

Q: 2 sin x f(x) = 2+ cos x find f' (x).

A: use ratio rule for finding the derivative of rational function.

Q: If f(x)- 3 cos 4x- - {).₁ 0 -3 -12 4 find f'

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Q: ilf find f'(x). Answer f(x) = 3 sin x 1 + cos a

A:

Q: If f(x) = 5 sin−¹(x³), find ƒ'(x). 15x² cos(x³) sin(2³)² x3 Find f'(0.4). X

A:

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: Let f (x) = 4 tan (7x). Find the values of the coefficients in the expressions for f' (x) and f"(x)…

A:

Q: -1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

A: Given  f(x)=(3sinx+4cosx)tan-1xTo find f'(x):

Q: Let h(y) = 2 cos y – 7 sin y. Then h'(y) =

A:

Q: The derivative of y = 3cos(8x+6) is: 1. y' = 24 sin (8x+6) 2. y' = -24 sin (8x+6) 3. y' = -24 cos…

A:

Q: Find f. f"(0) = sin(0) + cos(8), f(0) = 5, f'(0) = 2

A: Given, f"(θ)=sinθ+cosθ f(0)=5 and f'(0)=2

Q: Find f. f"(e) = sin(e) + cos(8), f(0) = 2, f(0) = 2 f(e) =

A: Given problem:- f''(θ) = sin(θ) + cos(θ) , f(0) =2 , f'(0) =2  To find:- f(θ)

Q: Find f f(0) = 2, f '(0) = 1 f "(0) sin 0 + cos 0, f(0)

A: Given that

Q: Find dy y= cof ( + tan)

A: Given : y = cot-12x+tan-1x2

Q: Find the y'(0) when y = cos (sec²(2x))

A:

Q: Let f (x) = 2 tan (5x). Find the values of the coefficients in the expressions for f'(x) and f " (x)…

A:

Q: Find the derivative of y = x°e*. O a. y' = 3e*x2(e*+x) O b. y 3x2(e* +1) O c. y = e*x2(x+ 3) O d. y'…

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Q: Find f. f(x) = f"(x) = 5ex - 7 sin(x), f(0) = 3, ( 77 ) = 0 EN 2

A: Given :f''x=5ex-7sinx

Q: f(z) = 3z° cos(z) f'(z) =

A: To find f'(x)

Q: Find f. f "(0) = sin 0 + cos 0, f(0) = 1, f'(0) = 3

A:

Q: Let fla) =Sint () Find f'(a) Let fla)= sin (u4) , Find f'Ca) Find f'(a) ニ

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