Find the anti derivative F of f defined by `f(x)=4x^3-6`, where `F (0) = 3`

Find an anti-derivative of the function f(x)=1/x

Find the derivative of the function f defined by f(x)=m x+c at x=0 .

Find the derivative of the function f defined by f(x)=m x+c at x=0.

If f is defined by f(x)=x^2-4x+7 , find f\ '\ (x)

Find the derivative of f(x)=e^(4x) + Cos 3x

Find the derivative of f(x) = 3 at x = 0 and at x = 3 .

Find the derivative of f from the first principles, where f is given by(i) f(x)=(2x+3)/(x-2) (ii) f(x)=x+1/x

The derivative of f(x)=|x|^(3) at x=0, is

Find the derivative of f(x)=2x^2+3x-5 at x=-1 . Also, prove that f'(0)+3f'(-1)=0.

Find the inverse of the function: f:(2,3) to (0,1) defined by f(x)=x-[x], where[.] represents the greatest integer function