Your Porsche's gas mileage (in miles per gallon) is given as a function M(x) of speed x in miles per hour. It is found that 3,600x-2 - 1 (3,600x-1 + x)2 M'(x) Estimate M'(40), M'(60), and M'(100). (Round your answers to seven decimal places.) M'(40) = mpg/mph M'(60) = mpg/mph M'(100) = mpg/mph

Q: A factory’s weekly production costs y and its weekly production quantity x are related by the…

A:

Q: Find the derivative of each function. a. f(x) = e³x f'(x) = b. f(x) = -8e³ f'(x) = c. f(x) = -4e0.5.…

A:

Q: y = 2.16eSin(2x)

A: SOLUTION-

Q: x + x dx x2

A:

Q: Given f(x) = + 5, find the domain and range of f-'(x). %3D X – 3

A:

Q: 6. f(x) = 2x2-7x-11 Sx2 es

A:

Q: Use the following information to determine an equation for f(x): f"(x)= 6, f '(0) = 4, and f(0) =-5.

A:

Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: