14 if F(x) = √² √3+ cos 5t (1 + t²) ¹4 dt, what is F'(x)? (Do not include "F"(x) =" in your answer.)

Q: 9. Find f' (x) for the function f (x) = sin? (cos(4x)) 10. Find f'(x) for the following functions:…

A: Given:          f(x) =sin2cos4x first derivative        ddxfx =f'x      f'x=ddxsin2cos4x    Applying…

Q: ) = 5 + 4 sin(x). If f(0) = 3 and f' (0) = 4, what is f(x)? Consider the function f(x) whose second…

A: Given:

Q: 3. Find f. (a) f"(x) = x + 12x² %3D

A:

Q: If find f'(x). Answer: f(x) = 4 sin x 3 + cos x

A:

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

A:

Q: If f(x) = 5x(sin x + cos x), what is f'(x)?

A:

Q: 3. If f(x) = sinx ex find f'(0).

A: fx=sinxex

Q: For f(x)=In(cos(x)), what is

A:

Q: 3. Find g'(x) if g(x) = sin³(4x) %3D A. cos (4x) B. 3 sin?(4x) cos(4x) c. 12 sin (4x) cos(4x) D. 4…

A:

Q: If f(x) = 2 sin æ + 9 cos a, then f'(x) = f'(4) =|

A:

Q: Suppose f"(x) = -4 sin(2x) and f'(0) = –5, and f(0) = 2. f(T/2) =

A: We will take double integration of f''(x) to get f(x) and then we will put x=π2 in f(x) to get fπ2.

Q: 3. Suppose that f'(x)= sin(x) + tx² and that f(T) = 0. Find f(x).

A: Given f'(x)=sin(x)+1/√x+ x2 and f(π)=0

Q: 7. The derivatives of the function f (x) = cos(3x²) that follow are incorrect. What misconception…

A: The differentiation of product two functions can be calculated by using the formula,…

Q: s¯¹(x + 1) − √√14 − 3x², find ƒ¹(x). If f(x) = 3x cos

A:

Q: B. Find f(x) if f

A: Solution of the problem as follows

Q: Apply the method of Example 6 to f (x) = sin x to determine f ' ( π/4 ) accurately to four decimal…

A: Given function is fx=sinx. To determine f'π4. Solution: Function is fx=sinx. Differentiating the…

Q: What is the third derivative of f (x) = a + cosæ?

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: If f(x) = 2 sin z +9 cos z, then f'(z) = f'(4) =

A:

Q: Let ƒ(x) = (cos( − 4x – 5)) (sin(6x − 2)). Then ƒ'(x) =

A: f(x)=(cos(-4x-5))(sin(6x-2))

Q: Given that f'(x) = cos(x), ƒ'(π/2) = 6 and f(7/2) = 14 find: f'(x) = f(x) =

A:

Q: mula for the derivative of the inverse function of f?

A: We have given a function  f(x)=∫0x(1+sin(sin(t)))dt We have to find f-1'(0).

Q: If f(x) = 3 cos (4 ln(x)), find f'(x). Find f¹(3).

A: The function is given by fx = 3cos4lnx To determine: The expression of f'x and the value of f'3.

Q: If f (x) = -4 sin x – 6 In x, find f'(x). f'(x) =

A: The given function is f(x)=-4sinx-6ln x

Q: If f(x) = ln 6x² +5 ( ) 4 - x 5 cos x f'(x) = find f'(x). Provide your answer below:

A:

Q: If f(x) = 3 cos(5 In(x)), find f'(x). Find f'(1).

A: topic - derivatives

Q: S(x)= cos' ( (2x)). -cos? sın Show that f'(x) =-6 cos" (sin(2x)) sin (sin (2x))cos(2x).

A: Given, the function f(x)=cos3sin2x. Then we have to show that f'(x)=-6cos2sin2xsinsin2xcos2x.

Q: If f(x) = cos x, then f'() = A. B. - C. - C. D. √3

A:

Q: If f(x) = 3 tan-'(3 sin(3x)), f'(æ) =

A: The given function f(x)=3tan-13 sin(3x)

Q: F(s) = Le 4t cos(5t)}

A: We have to find  ℒe-4tcos5t Remember : ℒeatf(t)=Fs-a where  ℒf(t)=Fs

Q: If f(x)= cos(4x) Plot the function from (x=0) to (x=180)

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: 1. ſ X (2x-5)² (3-4x) dx.

A: Solution: ∫x(2x-5)2(3-4x)dx Take the partial fraction ∫398(2x-5)-514(2x-5)2-349(4x-3)dx

Q: 2. Find f35 (x) and f102 (x) for f(x) = sinx. 3. Find f'(0). f(x) = sinx + 3 tan x + 1

A:

Q: Find f if f'(x) = 2 + cos(x), ƒ(0) = 10, ƒ(π/2) = 6. 2 f(x) = x² − cos(x) – (n - + - (x + 10 ) x +…

A:

Q: If f(x) = 4 cos(7 ln(x)), find f'(x). %3D Find f'(3).

A: Explanation of the answer is as follows

Q: f f(x) = (sin²x)• (cos5x), evaluate f' TT 一 6

A: The given function is