Learn how to solve problems step by step online. Find the derivative d/dx((4x)/(e^(-3x))). Since the exponent of the denominator is negative, we can bring it to the numerator and thus simplify. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=e^{3x} and g=x. The derivative of the linear function is equal to 1.

Find the derivative d/dx((4x)/(e^(-3x)))