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\frac{d}{dx}\left(e^{xy\cdot \ln\left(x\right)}\right)

Find the derivative of e^(yln(x)*x)

Answer

$e^{y\cdot x\ln\left(x\right)}\left(y+y\ln\left(x\right)\right)$

Step-by-step explanation

Problem

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

Applying the derivative of the exponential function

$1e^{y\cdot x\ln\left(x\right)}\cdot\frac{d}{dx}\left(y\cdot x\ln\left(x\right)\right)$

Unlock this step-by-step solution!

Answer

$e^{y\cdot x\ln\left(x\right)}\left(y+y\ln\left(x\right)\right)$
$\frac{d}{dx}\left(e^{xy\cdot \ln\left(x\right)}\right)$

Main topic:

Differential calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.68 seconds