Derivative of a Constant Multiple of a Function

Start with taking the derivatives of some lines.

Sample Problem

Find the derivative of each function.

• f(x) = x
    
• g(x) = 3f(x)
    
• h(x) = 3g(x)

Answer. These are all lines.

• The derivative of f(x) = x is the slope of the line f(x) = x, which is 1. Therefore...