Consider the following function. f(x) = x³ − x² + 4; Find the average rate of change of the function over the interval [-5, 5]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(-5)= f'(5)

Q: 1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value…

A: To find out the average rate of change of function on the interval.

Q: Calculate the derivative of the following function. y=f(g (5x*)), where f and g are differentiable…

A:

Q: Find the derivative of the function h(w) = -7w¯4 +6/w. %3D h'(w) :

A: The function is  h(w) =-7w-4+6w. We know that derivative of wn, i.e., dwndw = nwn-1.

Q: None

A: To conduct a hypothesis test comparing the proportion of business students at Bayview University who…

Q: Estimate the derivative of the function f(x)= 7 –9x at the point x = 6 using the balanced difference…

A:

Q: Find the derivative of the function by first expanding or simplifying the expression. f(x) = (5x-…

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Find a formula for f'(x) and determine the slopef'(-5) for the following function. 6e f(x) - Te* + 6…

A:

Q: Let f(x)=x3−3x2−x+4f(x)=x3−3x2−x+4. Find the average rate of change in the function over the…

A:

Q: What is the instantaneous rate of change of the function f ( x ) = 5 /x  at x = 3 ?

A: Given,        The instantaneous rate of change of the function fx=5x at x=3.We know that,…

Q: Evaluate f'(a) for the function f(x)= 2x² – 5x+1 What does f'(a) represent?

A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=a