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

Let f: R to R be defined by f(x) = x^(4) , then

Let f : R to R be defined by f(x)=x^(4) , then

Find the antiderivative of f(x) given by f'(x)=4x^(3)-(3)/(x^(4)) such that f(2)=0 .

Find the derivative at x = 2 of the function f(x) = 3x .

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

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

Find the intervals in which the function f given by f (x) = 4x^(3) – 6x^(2) – 72x+ 30 is decreasing.

Prove that the function f:N to Y defined by f(x) = 4x +3 , where Y=[y:y =4x +3,x in N] is invertible . Also write inverse of f(x).

Verify whether the function f : N to Y defined by f(x) = 4x + 3 , where Y = {y : y = 4x + 3, x in N} is invertible or not. Write the inverse of f(x) if exists.

If f:RtoR is defined by f(x)=x^(3) then f^(-1)(8)=