Which of the following functions satisfy the equation: f'(x) = f'(x)? O The answer can be found on more than one of the other choices. ° f(x)=e-* Of(x)=e* Of(x) = Of(x) = sinx =COS.X

Q: Which of the following is the derivative of the function g(0) = cos(0) – sin(0)? Ogʻ(0) = cos(0) +…

A: Derivative.

Q: If H(0) = 0 sin 0, find H'(0) and H"(0). %3D H'(0) =

A:

Q: Find f if f'(x) = sin x + cos x, f'(0) = 7, and f(0) = 7. Answer: f (x) =

A:

Q: Given f"(x) =| 16 sin(4x) and Find f

A:

Q: Find f. f(x) = f ''(x) = cos(x), f(0) = 4, f'(0) = 5, f "(0) = 7

A:

Q: Find any relative maxima and relative minima. relative maximum (x, y) = relative minimum (x, y): %3D…

A: The given function is - y = x(x-5)2y' = -x+5(x-5)3y'' = 2x+20(x-5)4

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: Given f(x) = 4 sin x cos x, find f'(x). f'(x) =

A: Given: f(x)=4sinxcosx

Q: -1 Find the derivative of the function: y=6 sin ¹¹ (x²). y'= y'= O y'= 12x y'= -X 2x 2 + X 12x 4 4 X…

A: Given y =6 sin-1 (x2 )

Q: Find g'(x) given that g(x) = x° cos(Tx) os (πα)

A: Given,  g(x)=x3cos(πx)

Q: If f(x) = sin(r*), find f'(x). 3z° cos(=") CoS Find f'(2). 3a cos(r³)

A:

Q: Given the function f(x), find f'(x) f(x) = 9x² COS X

A:

Q: = 4 and f Find the following. Suppose f 3. -5. Let g(x) = f(x) sin(x) and h(x) = f(x) 3 (a) g 3…

A:

Q: Find f. f '(x) = cos(x), f(0) = 6, f '(0) = 3, f "(0) = 5

A: Differential equation: f'''(x)=cosx f(0)=6, f'(0)=3 f''(0)=5

Q: 4. If f(x) = sin x, find f' (x) %3D Find f'(4)

A:

Q: If f(x) = 2 cos(3 In(x)), find f'(æ). Find f'(1).

A:

Q: If f(x) = 3 cos(3 In(x)), find f'(x).

A: Consider the function  f(x)=3cos3ln(x)

Q: Given f''(x) 25 sin(5x) and f'(0) = - 1 and f(0) = 2. | Find f() 6.

A: Given query is to solve the differential equation and find the valu of indicated function.

Q: If f(x) = cos(In(x5)), find f'(1). f'(1) =

A: Explaination of the answer is as follows