I was studying the second derivative and got stuck with this problem.
$$y=4x-(2x-1)^4$$
I assumed that $u=(2x-1)$ and differentiate u with respect to x but for $y=4x-u^4$ how can I differentiate that?
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Hint: the chain rule. – Sean Roberson Jun 10 '23 at 01:01
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If $u=2x-1$ then $4x=2u+2$ – Henry Jun 10 '23 at 01:01
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1If you know how to differentiate $f(x)=4x$ and you know how to differentiate $g(x)=(2x-1)^4$ then you know how to differentiate $h(x) = f(x) - g(x) $... right? – Jake Mirra Jun 10 '23 at 01:04
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@Henry Oh right! I did not see that point. Thank you! – Kyooo Jun 10 '23 at 01:09
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@JakeMirra Wow I can also approach the problem in this way! Thank you so much!!! Now I know the new approach! – Kyooo Jun 10 '23 at 01:11