Find the minimal value of the function $y=x(1+x)$

Differentiate sin x – x cos x

Find the derivative of $y=\frac{{{x}^{7}}-{{x}^{5}}}{{{x}^{4}}}$

Find the value of x for which the function $f(x)=2{{x}^{3}}-{{x}^{2}}-4x+4$has a maximum value

If $y={{(1+x)}^{2}},$find $\frac{dy}{dx}$

If $y=x\cos x$find $\frac{dy}{dx}$

Differentiate ${{(\cos \theta -\sin \theta )}^{2}}$ with respect to θ

Find the value of x for which the function $3{{x}^{3}}-9{{x}^{2}}$ is minimum

Differentiate ${{\left( {{x}^{2}}-\tfrac{1}{x} \right)}^{2}}$ with respect to x

Find the derivative of $y=\sin (2{{x}^{3}}+3x-4)$