X 1) f(x) = x6 + 4x + 2 I NIX - 3) f(x) = ln(x5 - cos²x) 5) f(x)=xsin x + πT x5 -√x - In 3 3 2) f(x)=√√e7x - 2x 4) f(x) = x² 1 + x³ 1 6) f(x) = x tan- X

Q: 2x + 8 Find f'(x) if f(x) x² + 3 f'(x)

A:

Q: Let ƒ'(x) = ƒ'(2) = f(x) = (x³ + 4x + 8) ²

A: f(x)=(x3+4x+8)2 d dx(xn)=nxn-1d dx(constant)=0

Q: FIND f'(x)

A:

Q: ƒ' (4) = If f(x) = 3√√√x(x³ − 2√x + 2), find f'(4).

A: Given that

Q: Let f(x)=4x^(3)- 8 Find f '(4)

A:

Q: = (1) cotr 1+csc.x

A: We will find the required.

Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

A:

Q: Let ƒ'(x) = f¹(e³) = ƒ(x) = (ln x)8

A: f(x)=(lnx)8 d dx(lnx)=1xd dx(xn)=nxn-1lne=1

Q: Find f', f'', f''' and f (4) for the function. f(x) = x° + 3 + 3x + 1 %3D f'(x) = Preview f''(x) =…

A:

Q: f'(x) = +6) ¹¹(™). Find f'(x). Let f(x) = (x³ + 6)¹(x).

A:

Q: f6) =V20x (?,) f'G) f'(x)

A:

Q: Identify the open interval(s) where f is concave up. [A] (-∞, -1) [B] (-∞, -3) U (-1,2) [C] (-1,00)…

A: for concave up , f'(x) is increasing For given graph , f'(x) is increasing on

Q: f(x)=-(x-1)2 use f'(x) to find decreasing interval

A: f(x)=-(x-1)2 = - (x2 - 2x + 1) = 2x - x2 - 1

Q: find f'la) f(x)%3D(X

A: The given function is: f(x)=x-1x2

Q: (0,F) (L.F) (L+ F, 0) (L+F+ LF, 0) 2. The following is the graph of f'(x).

A: From the graph,when 0≤x≤L, f'x=F Therefore, f(x)=∫f'xdx=∫F dx=Fx+cc being an integrating constant…

Q: Exercise 5 Derivative Suppose f (x) = 12x-1. What is f'(x)?

A: GUIDE: (1) Derivatives (a) Power Rule dxd​(xn)=nxn−1  EXERCISE 5Step 1: Write the given f(x)=12x−1…

Q: F’(-4)=

A:

Q: determine f given f' and a point which statify f. f'(X)= 4x3-3x2+2x (3,80)

A: To determine f given f' and a point which statify f.   f'(X)= 4x3-3x2+2x (3,80)

Q: Sketch the graph of ƒ. Include all important features of the graph: such as x and y-intercept,…

A:

Q: find f 'a  f (x)= sqrt(1-2x)

A:

Q: Find f'(x) and f''(x) 3x3 + 1 f(x) x2 f'(x) Pre

A: Given that: f(x)=3x3+1x2

Q: 1 = 1, then F(0) If f'(x) = cot² x +1 and f %3D ||

A:

Q: Let f(x) - 6e* +2 + e'. f'(0) =

A: The given function is f(x)=-6ex+2+e1

Q: Let f(x)=sqrt[x]+1/sqrtx what is f'(4)

A:

Q: Obtain f'(7) f(x)= x / x^2+3

A: Given             f(x)= x / x^2+3

Q: Let f(x) = Find f' (z). (z² 4) f(x) =|

A:

Q: Let f(x) = = f'(x) = = /3x² + 3x + 2 2

A:

Q: (ii) Show that {Xt} is stationary.

A:

Q: Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

A: Question- Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

Q: Find f'(a). f(x) = 4x2 - 5x + 3 f'(a)

A: Given: fx=4x2-5x+3 for finding f'a, we differentiate given function with respect to x

Q: Find f'(x) if f(x)=sin^-1 (x-1/x+1)

A: We have to find

Q: 19) Find f' if f(x)= sec² x 83√x

A: