Author Topic: Anyone help me with this question plz (Read 772 times) Tweet Share

suskieanna · « **on:** November 18, 2018, 10:08:09 am »

Can anyone help me with this question? I spent lots of time but I can't just do this question at all... so frustrated...

AlphaZero · « **Reply #1 on:** November 18, 2018, 11:36:09 pm »

$\begin{align*} \frac{dy}{dx}&=2 \left(x+\sqrt{x^2+1}\right) \left(1+\frac{1}{2}\left(x^2+1\right)^\frac{-1}{2}\cdot 2x\right)\\<br />&=2 \left(x+\sqrt{x^2+1}\right) \left(1+\frac{x}{\sqrt{x^2+1}}\right)\\<br />&=2 \left(x+\sqrt{x^2+1}\right) \cdot \frac{\sqrt{x^2+1}+x}{\sqrt{x^2+1}}\\<br />&=\frac{2\left(x+\sqrt{x^2+1}\right)^2}{\sqrt{x^2+1}}\\<br />&=\frac{2y}{\sqrt{x^2+1}}\end{align*}$

Hope this helps. Have to use the chain rule twice

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Author Topic: Anyone help me with this question plz (Read 772 times) Tweet Share

suskieanna

Anyone help me with this question plz

AlphaZero

Re: Anyone help me with this question plz

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