The derivative of a function of a single variable at a chosen input value.  Derivative is the slope of the tangent line to the graph of the function at that point.  Hence derivative of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to the change of the variable x. Because of this also called instantaneous rate of change,

 

Worksheet on Second Derivative Test

Derivative