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\frac{d}{dx}\left(5\cdot e^{7x}\cdot \cos\left(9x\right)\right)

Find the derivative using the product rule [x]

Answer

$5\left(7e^{7x}\cos\left(9x\right)-9e^{7x}\sin\left(9x\right)\right)$

Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(5\cdot e^{7x}\cdot \cos\left(9x\right)\right)$
1

The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function

$5\frac{d}{dx}\left(e^{7x}\cos\left(9x\right)\right)$

Unlock this step-by-step solution!

Answer

$5\left(7e^{7x}\cos\left(9x\right)-9e^{7x}\sin\left(9x\right)\right)$

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$\frac{d}{dx}\left(5\cdot e^{7x}\cdot \cos\left(9x\right)\right)$

Main topic:

Differential calculus

Used formulas:

3. See formulas

Time to solve it:

~ 0.33 seconds