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: find Agc length of curve rH)-(25in 5() 3t) zcos (St) > 14€≤3

A:

Q: 8. Find f'(x) for the function f (x) = (5x² + 3)4

A: ddxfxn=nfxn-1f'x

Q: If f( x) = x² , what is f'(x)?

A:

Q: Given f''(x) = - 36 sin(6x), ƒ'(0) = - 2, and f(0) = 6. Answer the following: a) f(x) = b) f(E) =

A: Given, f''(x)=-36sin(6x) f'(0)=-2 f(0)=6

Q: f(æ) = cos(sin(x*)), then f'(x) =

A:

Q: Suppose h is a function that is differentiable for all real numbers x, h(2) = 7, and h'(2) =-2. What…

A: Final Answer: The value of dxd​[xh(x)​] at x=2 is 4−11​ Option B is the correct answer. B) 4−11​…

Q: If f(x) = cos(x) +3z³, what is f'(æ)? O f'(x) = sin(x) +3z³ O f'(x) = sin(x)+ 9x² O f'(x) =…

A:

Q: If g (x) = f (x) sin x, then g' (x) : = f' (x) cos x. True O False

A:

Q: If f(x) = (52² + lx + 6)cos(x), find 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) = 5x(sin x + cos x), find f'(x) = 5 sin(x) + 5 cos(x) + 5x cos(x) - 5x sin(x) To two decimal…

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: 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: 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: 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: What is f’(2) for the function attached below?

A: We have to calculate the derivative of the given function at x=2 f'(2)…

Q: 11. What property must f(x) have in order for f'(x) to exist?

A:

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: 9) Find f(x) if f'(x) = 7 sin x + 2x - 3 and f(0) = -3

A: Obtain f(x) by integrating the given first derivative as follows.

Q: 1+cosx Show that if f(x) = In| then f'(x) = -cscx. %3D 1-cosx

A:

Q: Given f''(x) = ƒ(5) Find f = S 9 sin (3x) and f'(0) - 4 and f(0) = 1.

A:

Q: If f(x) = 4x(sin a + cos x), find f'(x) = f'(5) =

A:

Q: If f(x) = 5x, then f'(2) = %3D %3D O 15x? O 40 O 30 O 60

A: We want to find the value of the derivative of the given function at x=2. The given function is…

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

A: Explaination of the answer is as follows