Question

find the derivative of y=sin3x

Answer 1

Dear student
$$\begin{gathered} y=\sin 3x \\ differentiateitw.r.t.x.,weget \\ \frac{dy}{dx}=\frac{d}{dx}\left(\sin 3x\right) \\ \Rightarrow \frac{dy}{dx}=\cos 3x\times \frac{d}{dx}\left(3x\right) \\ \Rightarrow \frac{\mathbf{d}\mathbf{y}}{\mathbf{d}\mathbf{x}}\mathbf{=}\mathbf{3}\mathit{c}\mathit{o}\mathit{s}\mathbf{3}\mathit{x} \end{gathered}$$
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