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\frac{d}{dx}\left(\sqrt{x}\ln\left(x\right)-x\right)

Find the derivative using the constant rule [x]

Answer

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

Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(\sqrt{x}\ln\left(x\right)-x\right)$
1

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

$\frac{d}{dx}\left(\sqrt{x}\ln\left(x\right)\right)+\frac{d}{dx}\left(-x\right)$

Unlock this step-by-step solution!

Answer

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

Main topic:

Differential calculus

Used formulas:

5. See formulas

Time to solve it:

~ 0.58 seconds