15) Match the graph with the correction function. (a) (x) = 4' - 5 (b) S(x) = 4' + 5 (c) (1) = 4-X + 5 (d) S(x) = 4-- 5 %3D

Q: f(x)= (x+2)² (x - 1) f'(x) = 3x(x+2) %3D f"(x) = 6x +6 %3D

A:

Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: Find f'(x) and f'(c). Function Value of c 4 f(x) %3D C = 1 X- 9

A: To find the derivative

Q: f(x) = 8x-1 %3D f '(x) = %3D

A:

Q: Find g' (5) given that f(5) = – 3 and f' (5) = 6. Enter the exact answers. (a) g(x) = 6x² – 5f(x) g'…

A: (a) The given expression of the function is: g(x)=6x2-5f(x)      ...(1) Given, f(5)=-3 ; f'(5)=6

Q: 7. f(4) = 34. Find f such that f'(x) = %3D %3D f(x) =|

A: f'(x)=7xIntegrate on both sides∫f'(x) dx=∫7x…

Q: Encounter the sector's area beneath the diagram of f(x) to the right of x = 12. f(x) = 1 / (x - 9)2

A:

Q: f'(x) = 6Vx ; f(1) = 7,

A:

Q: y" - y' = -4 y(x) = %3D

A:

Q: 6x + 6 If f(x) = find: %3D 4x + 4' f'(z) = f'(3) =

A:

Q: The total cost in dollars of producing x coffee makers is C(x) = 2500 + 30x — . Find the exact cost…

A: The total cost in dollars of producing x coffee makers is Cx=2500+30x-x25

Q: Find g' (3) given that f(3) = – 5 and f' (3) = 10. %3D Enter the exact answers. (a) g(x) = 4x² –…

A: Given,           f3=-5 and f'3=10

Q: Use the graph of f(x) below to put the values of f'(-6), f'(0), and f'(2) in decreasing order. 2.5…

A:

Q: f(x) %3D 2(5 - х)2, (1, 32) f '(1) =

A: to find the slope of the given function

Q: f′(x) of f(x)=(12x-8)^1/2 and find the equation of the line tangent to the graph of f at x=2. Find…

A:

Q: Find f. (x + 1) f'(x) = (1) = 3 %3D f(x) =

A:

Q: Given "(1) = 9x + 2 (1),.. and f'(0) = - 5 and f(0) = Find f'(x) = und find f(3) =

A:

Q: Differentiate the function and simplify the answer. f(x) = 2x e2r'+x² Select one: f'(x) = 2xe2r³+x?…

A:

Q: f"(x) = -2 + 24x – 12x2, f(0) = 3, f'(0) = 18 %3D %3D

A:

Q: f(x²) Suppose f(9) = -8 and f'(9) = 10. Let g(x) = Then g'(3) =. Enter an exact number only.

A:

Q: 9. (x+ 3)(x – 6) = 10 %3D

A: Our Aim is to solve the equation given below for x:-(x+3)(x-6)=10 -(i)

Q: What is the approximate slope of the curve with equation f(x)=(1/x-1) at x = 1.2?

A: To find the approximate slope of the curve with equation f(x)=(1/x-1) at x = 1.2

Q: f(x) = 2x3 (x³ – 4). .1/3, Evaluate the following specific values of f': (A) f '(1) = (B) f'(5) =

A: Given that the function :- To find the derivative of f :-

Q: 7. 1. f(x) = 6 /x? - 20 x + 4 find f (4) (x). 收 .5 2. x-xy+y 3, find y".

A: 1) fx=6x23-20x45+7x57+4x6fx=6x23-20x45+7x-57+4x-16Differentiating with respect to…