ppose f(x) is a continuous differentiable function. Some of the values of the function and its derivative are shown below. -2 1 2 3 6 4 -2 -5 7 -3 6 4 3 0 2 X f(x) f'(x) Let g(x) = f(). Find g'(x). '(x) = -($) ** ( ² ) − 9 '(x) = ($)ƒ'( § ) "g'(x) = -6 f'(²) 'g'(x) = (§ ) ƒ'( ² ) - g'(x) = f'( ² ) ow find g'(3) = ) Find the equation of the tangent line to f(x) at x = 1. Use y as the dependent variable. ow approximate f(7) =

Q: Make a sign diagram for the derivative of the function. f(x) = x² + 4x³8x² + 52 f'(x) ? 0 f'(x) ?0 X…

A: The given function is

Q: A graph of y=f(x) is shown. In the same coordinate system, sketch a graph of the derivative function…

A: Note: If f(x) is decreasing, then the graph of f'(x) will be below the x-axis. If f(x) is…

Q: if f(x) is a function with derivative f'(x)= (x^2 + 1)^5, then the following is true about f(x)

A:

Q: Find the derivative of the function. f(x) = (x³ + 8x + 6)(1+--/-)

A: Find the derivative of the function.f(x)=(x3+8x+6)(1+1x2)

Q: let f(x) be a function such that its derivative is given by: f'(x)=5(x-1)^2(x-2)^3(x-3)^4. which…

A: Consider the graph of given first derivative: If the graph of f '(x) changes from negative to…

Q: X x+18

A: f(x)=xx+18

Q: Calculate the derivative. ƒ(x) = (6e* − 7x²) (x³ + 1) (Use symbolic notation and fractions where…

A:

Q: The rule of the derivative of a function f is given. Find the location of all local extrema. f'(x) =…

A: Let us find the location of all the extrema of the function using The First Derivative Test in the…

Q: Find the derivative of the function. f(x) = (2x – 8)*(x2 + x + 1)5 f'(x) =

A:

Q: Graph of f(x) is provided in the image. Sketch the graph of the derivative function f'(x).

A: In this question, we have the graph for the function f(x). Here, we need to find the graph of its…

Q: 2. For the function, f(x), below, state the intervals of increase and decrease, the x-coordinates of…

A: The interval of increase: From the graph of the function, we can see that the function is increasing…

Q: The graph of the DERIVATIVE, f'(x), is given. Which one of the following is true about the original…

A: Increasing and decreasing function

Q: The chart below gives information about the derivative of a function f (x). f'(x) + + + +0---0- 4 0…

A:

Q: Use the definition of the derivative to find the derivative of the function f(x) = v2x + 1, then…

A:

Q: f(x) f'(x) x100

A:

Q: e picture below shows the graph y = f'(x) of the derivative of f(x). alues are labeled 'A', 'B',…

A: Since you have asked multiple part question, we will solve the first part of question for you as per…

Q: A graph of y = f(x) is shown. Sketch the graph of the derivative function y = f'(x). -5 -4 -3 -2 -1…

A:

Q: Make a sign diagram for the derivative of the function. f(x)=x+4x38x² +62 f'(x) [ increase 0…

A: Introduction: Any interval in the domain of a function's derivative can be utilized to assess…

Q: Find the derivative of the given function. f(x) = (2x² + 2)³(x² - 1)² f'(x) 80x⁹ +64x7 - 96x5 − 64x³…

A: To find the points at which the tangent line is horizontal, we have to find where the slope of the…