Second Derivative...?

Question

A) Describe how to find the second derivative of a differentiable function
B) What does the second derivative of a function represent relative to the first derivative

Answer 1

a second derivative is the derivative of the first derivative.

The first derivative will give you the slope of the function at a given point, the second will give you the rate of change in the slope at the point.

Answer 2

f'(x) = damaging for all x the only project this is lowering for all values could be a function this is self sufficient of any fee. this means that the 1st by-product is a persevering with, ok, the place ok < 0. f''(x) = ? The by-product of a persevering with is 0. subsequently the 2nd by-product of f''(x) is 0. Graph: combine f'(x) = alright to be certain f(x) INTEG(f'(x) = ok) = f(x) = kx, the place ok< 0 So the graph of this function is a diagonal line going from north and west of 0 to south and east of 0 and passing in the time of the beginning (0,0). The slope relies upon upon ok