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

Find the derivative of f(x) =2x^(2)+3x-4 at x=0.

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

Find the derivative of f (x) = (2x + 1)/(x + 3)

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

Find the derivative of f(x) = 2 x^(3) + 3x^(2) + 5x + 9 at x = 2

Find derivative of f(e^("tan"x)) w.r.t. x at x = 0. It is given that f(1) = 5

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

If f(1)=4 , f^(prime)(1)=2 , find the value of the derivative of log(f(e^x)) with respect to x at the point x=0 .

If f is a real function defined by f(x)=(x-1)/(x+1) , then prove that f(2x)=(3f(x)+1)/(f(x)+3)