Derivative 1

Derivative 1

Investigation of the function-using derivative

Using derivative

A function is increasing if the derivative is positive (+) and

decreasing if the derivative is negative (–).

Theory

• introduction

• definition

First derivative

first derivative positive: function is increasing;

first derivative negative: function is decreasing;

first derivative zero: function is level.

Multiple Choice

find derivative x²+2x

• 2x²+2

• 2x+2

• x²+2

• x³+2x²

Multiple Choice

The derivative is closely related to the following notion:

• set of solutions of an equation

• slope of a line

• zero of a function

Fill in the Blanks

The derivative of a function at a point is