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Find the derivative of xe^(3x-5)+ln(x-4)

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$\frac{1}{x-4}+3x\cdot e^{\left(3x-5\right)}+e^{\left(3x-5\right)}$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(x e^{\left(3x-5\right)}+\ln\left(x-4\right)\right)$
1

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

$\frac{d}{dx}\left(\ln\left(x-4\right)\right)+\frac{d}{dx}\left(e^{\left(3x-5\right)}x\right)$

$\frac{1}{x-4}+3x\cdot e^{\left(3x-5\right)}+e^{\left(3x-5\right)}$

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$\frac{d}{dx}\left(x e^{\left(3x-5\right)}+\ln\left(x-4\right)\right)$

Main topic:

Differential calculus

~ 0.57 seconds