5.3 The Fundamental Theorem of Calculus/15

$y=\int _{0}^{tan(x)}{\sqrt {t+{\sqrt {t}}}}\,dt$

Failed to parse (unknown function "\begin{align}"): {\displaystyle \begin{align} \frac{d}{dx}(y)= \frac{d}{dx}\left[\int_{0}^{tan(x)}\sqrt{t+\sqrt t}\,dt\]right=\sec^{2}(x)\cdot\sqrt{tan(x)+\sqrt tan(x)})-0\cdot\sqrt{0+\sqrt 0}\,=\sec^{2}(x)\cdot\sqrt{tan(x)+\sqrt tan(x)}) \end{align} }

In this problem $a^{\prime }{(x)}=0$, so when it is multiplied by $f(a(x))$ it will result in 0 and doesn't need to be added.