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\frac{d}{dx}\left(x^2-2x^5\ln\left(x+2\right)\right)

Find the derivative of x^2x^5ln(x+2)*-2

Answer

$\frac{d}{dx}\left(x^2\right)+\frac{-2x^5}{2+x}-2\ln\left(2+x\right)\frac{d}{dx}\left(x^5\right)$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(x^2-2x^5\ln\left(x+2\right)\right)$
1

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

$\frac{d}{dx}\left(-2x^5\ln\left(2+x\right)\right)+\frac{d}{dx}\left(x^2\right)$

Unlock this step-by-step solution!

Answer

$\frac{d}{dx}\left(x^2\right)+\frac{-2x^5}{2+x}-2\ln\left(2+x\right)\frac{d}{dx}\left(x^5\right)$
$\frac{d}{dx}\left(x^2-2x^5\ln\left(x+2\right)\right)$

Main topic:

Differential calculus

Used formulas:

5. See formulas

Time to solve it:

~ 1.33 seconds