Question

How do you find the stationary point of a function?

Answer 1

Define Stationary point of a function:

A stationary point of a function $f\left(x\right)$ is a point where the derivative of $f\left(x\right)$ is equal to $0$. These points are called stationary because at these points the function is neither increasing nor decreasing.

That is for $y=f\left(x\right),\frac{dy}{dx}=f\text{'}\left(x\right)=0$ at stationary points.

Hence we find stationary point by $\mathbf{}\frac{\mathbf{d}\mathbf{y}}{\mathbf{d}\mathbf{x}}\mathbf{=}\mathbf{0}$ or $\mathit{f}\mathbf{\text{'}}\mathbf{\left(}\mathit{x}\mathbf{\right)}\mathbf{=}\mathbf{0}$.