Use limits to find the derivative function f' for the function f. - Evaluate f'(a) for the given values of a. 3. f(s) = 6s + 2s; a = -4, - 1

Q: F(X) = X + よ2 %3D

A: Given, fx=x+3x2

Q: The derivative ofthe function f(x) = (5x³ – 2x² + 3x – 1)³ Is 3(5x² – 2x² + 3x – 1)°(15x² – 4x + 3).…

A: We have given  function fx=5x3-2x2+3x-13 Then, f'x=35x3-2x2+3x-1215x2-4x+3

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: