Question

Differentiate $x^3+3x^2+x.$

Answer 1

$f\left(x\right)=$$x^3+3x^2+x.$

We use the formula $\frac{d}{dx}{x}^n=n{x}^{n-1}$

$f\text{'}\left(x\right)=3x^2+6x+1$

Hence, derivative of $x^3+3x^2+x.$ is $\mathbf{3}{\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{6}\mathit{x}\mathbf{+}\mathbf{1}$