**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

**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