Differentiation

You need to know the Example Question

difference between Increasing

and Decreasing Functions Show that the function ;

An increasing function is one with a

is an increasing function.

positive gradient.

A decreasing function is one with a Differentiate to

negative gradient. get the gradient

function

Some functions are increasing in one

interval and decreasing in another.

Since x2 has to be positive, 3x2 + 24

will be as well

You need to be able to work out

ranges of values where a function is So the gradient will always be

increasing or decreasing.. positive, hence an increasing function

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