Final Answer
Step-by-step Solution
Specify the solving method
The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(e^{3x}\cos\left(4x\right)\right)+\frac{d}{dx}\left(-e^{-3x}\sin\left(2x\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(e^(3x)cos(4x)-e^(-3x)sin(2x)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. 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'. Simplify the product -(\frac{d}{dx}\left(e^{-3x}\right)\sin\left(2x\right)+e^{-3x}\frac{d}{dx}\left(\sin\left(2x\right)\right)).