4 Let f(x) = 6x°va + || f'(x) =

Q: Find f. f"(x) = −4+ 8x - 12x², f(0) = 4, f'(0) = 12 (Prob. 1,

A: Consider the derivative function and initial conditions, f''x=-4+8x-12x2,f0=4,f'0=12 The objective…

Q: Find f. f"(x)  =-2  +12 x -12 x2   , f(0)   = 4 ,f'(0)  =12

A: Given ,f''x=-2+12x-12x2f0=4f'0=12

Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(5) = 0 f(x) =

A:

Q: Let c =8 If f (x) = ecsin(). Find f' (0)

A: Given c=8and f(x)=ec.sin(x)⇒f(x)=e8sin(x)

Q: 3 find f'(x). x2 7 If f(x) = 7+ -+

A:

Q: rsin(r2) Let g(x) 1 and f(x) g(t) dt. Find f' (2). xª + 1

A: From the given information we can apply the fundamental theorem of calculus.

Q: Find f'(a). f(x) = 7x - 8x + 6| %3D

A:

Q: let hG) = f(x) %3D where f(-3) = 7, f'(-3)= - 9, g(-3) = -2 and gʻ(-3) = 1. What is b'(-3)? %3D %3D

A:

Q: Find f' (x) for ƒ (x) = 8x° – 3e".

A: Given : fx = 8xe - 3ex

Q: Find the inflection point of the curve f(x)=2x³ – 30x² – 12x+5. O 60 None O -2 O 5

A:

Q: Find f. f"(x)  =8  x3 + 5   , f(1)   =  0 , f'(1)  =8

A: It is given that, f''x=8x3+5,  f1=0, f'1=8.   Integrate the function f''x=8x3+5 as follows".…

Q: Determine f '(x) for f (x)=(3x2+1)2

A: It is known that the chain rule is a formula for computing the derivative of the composition of two…

Q: If f(x) (2x+6) , find f'(x). Find f'(1).

A: Given query is to find indicated derivative of the  function.

Q: If f(x) = x°cos-x , find f '(x). COS X %3D

A: Given,          fx=x2cos-1x

Q: Let f(x) = -2x°e* f'(x) =

A: fx=-2x8ex

Q: Let f(x) 2 csc(6x) f'(x) =

A: Solved below

Q: Find f. f(x) = f"(x) = 8x³ + 5, f(1) = 6, f'(1) = 2

A:

Q: Let f(x) :2x + 14 f-'(x) = Prev

A: To find f-1(x) Step 1-  put f(x) equals to y Step 2 - Replace y with x and x with y Step 3-…