Unit 1 - Objective 4 - Derivative Rules

The derivative of a constant is zero because the slope of a constant function is zero.

Given the function y = constant:

The slope of the line is zero because this is a horizontal line.

Find: f ' (x) for f (x) = y = -5

Solution: f ' (x) = dy/dx = 0

The first derivative is zero, which is the slope of the line.

The derivative of the nth power of x...

Find: f '(x) for

(the 1st derivative or slope of the tangent line to any point on the curve)

The derivative of a constant times the nth power of x...

Find the derivative of:

Note: If you want to evaluate the derivative at the point (2,40) then

(slope of the tangent line to the curve at the point (2,40))

The derivative of the sum or difference is the sum or difference of the derivatives.

Find the derivative of: