Final Answer
Step-by-step Solution
Specify the solving method
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=e^{7x}$ and $g=5\cos\left(9x\right)$
Learn how to solve product rule of differentiation problems step by step online.
$5\frac{d}{dx}\left(e^{7x}\right)\cos\left(9x\right)+e^{7x}\frac{d}{dx}\left(5\cos\left(9x\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(5e^(7x)cos(9x)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=e^{7x} and g=5\cos\left(9x\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\cos\left(9x\right) and g=5. The derivative of the constant function (5) is equal to zero. Any expression multiplied by 0 is equal to 0.