Question
Differentiate the following w.r.t. x:
$\frac{(x+1)^2}{(x+2)^3(x+3)^4}$
$\frac{(x+1)^2}{(x+2)^3(x+3)^4}$
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$y =\sqrt{a \cos (\log x)+b \sin (\log x)}$
$\left(1+e^{\frac{x}{y}}\right) d x+e^{\frac{x}{y}}\left(1-\frac{X}{y}\right) d y=0$
perpendicular to vectors $\bar{b}=\hat{i}+2 \hat{j}+\hat{k}$ and $\bar{c}=3 \hat{i}+2 \hat{j}-\hat{k}$.
$\int_0^{\pi / 4} \frac{\cos 2 x}{1+\cos 2 x+\sin 2 x} d x$