the differentiation of x=3 sin(pie t) with respect to t at t=1 s is given bythe differentiation of x=3 sin(pie t) with respect to t at t=1 s is given by

Dear Student,

Please find below the solution to the asked query:

Given equation is,

$$\begin{gathered} x=3 \sin \left(\pi t\right) \\ By differentiating on both sides, \\ \Rightarrow \frac{d}{dx}\left\{x\right\}=\frac{d}{dx}\left\{3 \sin \left(\pi t\right)\right\} \\ \Rightarrow \frac{d}{dx}\left\{x\right\}=3\pi \cos \left(\pi t\right) \end{gathered}$$

Hope this information will clear your doubts about the topic.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards