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\frac{d}{dx}\left(e^{2x}-x\cdot \cos\left(xy\right)\right)

Derive the function e^(2x)xcos(xy)*-1 with respect to x

Answer

$2e^{2x}+x\cdot y\sin\left(y\cdot x\right)-\cos\left(y\cdot x\right)$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(e^{2x}-x\cdot \cos\left(xy\right)\right)$
1

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(-x\cos\left(y\cdot x\right)\right)+\frac{d}{dx}\left(e^{2x}\right)$

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Answer

$2e^{2x}+x\cdot y\sin\left(y\cdot x\right)-\cos\left(y\cdot x\right)$

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$\frac{d}{dx}\left(e^{2x}-x\cdot \cos\left(xy\right)\right)$

Main topic:

Differential calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.25 seconds