Question

differentiation class 11
y= sin(ax^2+b)

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Answer 1

Answer:

dy/dx= 2ax cos(ax²+b)

Step-by-step explanation:

hope it helps

Answer 2

$\left\{\begin{matrix}a=\frac{\arcsin(y)+2\pi n_{3}-b}{x^{2}}\text{, }n_{3}\in \mathrm{Z}\text{; }a=\frac{-\arcsin(y)+2\pi n_{4}-b+\pi }{x^{2}}\text{, }n_{4}\in \mathrm{Z}\text{, }&x\neq 0\text{ and }|y|\leq 1\\a\in \mathrm{R}\text{, }n_{1}\in \mathrm{Z}\text{, }|2\pi n_{1}-b+\pi |\leq \frac{\pi }{2}\text{; }a\in \mathrm{R}\text{, }n_{2}\in \: \mathrm{Z}\text{, }|b-2\pi n_{2}|\leq \frac{\pi }{2}\text{, }&y=\sin(b)\text{ and }x=0\end{matrix}\right.$

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