Find the derivative of f(x)=e^−4x+9/x+3x^2 f′(x)= Find an antiderivative of f(x)=e^−4x+9/x+3x^2 F(x)=

anti-derivative

#1

Find the derivative of f(x)=e^−4x+9/x+3x^2
f′(x)=

Find an antiderivative of f(x)=e^−4x+9/x+3x^2
F(x)=

Answer:

f’(x) = -4e^9-4x) - 9x^(-2) + 6x

F(x) = (-1/4)e^(-4x) + 9ln(x) + x^3 + CONSTANT