# How to draw the derivative on the graph?

Apr 21, 2018

The value for $x$ for which $y = f \left(x\right)$ has a stationary point is the value of $x$ at which $f ' \left(x\right) = 0$.

#### Explanation:

The tangent at a point on the Graph of $f \left(x\right)$ gives the value of Derivative at that point.

But here directly the graph of $f ' \left(x\right)$ is given and not of $f \left(x\right)$ which makes this problem simpler.

So here in first graph the stationary points are $- 1 , 1 , 5$

and in the second graph the stationary points are $0$ and $2$.

For first graph :

$x = - 1$ is the Point of Inflection ,
$x = 1$ is a point of Local minima
and $x = 5$ is a point of Local maxima.

For second graph :

$x = 0$ is a point of Local maxima
and $x = 2$ is a point of Local minima.

For your reference see this pic given below :-