Show that the greatest integer function \(f(x)=\left\lfloor x \right\rfloor \) is not differentiable at any integer?

Differentiate the following with respect to x : y = x³ + 5x² + 3x + 7

Find the derivatives of the following functions with respect to corresponding independent variables: f(x) = x sin x

Find the derivatives of the following functions with respect to corresponding independent variables: g(t) = 4 sec t + tan t

Find the derivatives of the following functions with respect to corresponding independent variables : y = e^x sin x

Find the derivatives of the following functions with respect to corresponding independent variables: y = cosec x . cot x

Differentiate : y = e^{sin x}.

Differentiate 2^x.

Differentiate the following: y = tan 3x

If y = sin^-1x then find y''.