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Find the derivative of x(1+y)^0.5+(y(1+2x))^0.5=2x

\frac{d}{dx}\left(x\sqrt{1+y}+\sqrt{y\cdot\left(1+2x\right)}=2x\right)

Step by step solution

Problem

$\frac{d}{dx}\left(x\sqrt{1+y}+\sqrt{y\cdot\left(1+2x\right)}=2x\right)$

Show full step-by-step solution

Answer

$\frac{d}{dx}\left(\sqrt{2x+1}\sqrt{y}+\sqrt{y+1}x\right)=\frac{d}{dx}\left(2x\right)$

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$\frac{d}{dx}\left(x\sqrt{1+y}+\sqrt{y\cdot\left(1+2x\right)}=2x\right)$

Main topic:

Differential calculus

Used formulas:

0

Time to solve it:

0.26 seconds