Answer
$$y'=2^{(s^2+1)}s\ln2$$
Work Step by Step
$$y=2^{(s^2)}$$
Recall Theorem 5: $$\frac{d}{ds}a^u=a^u\ln a\frac{du}{ds}$$
Apply here to find $y'$: $$y'=(2^{(s^2)})'=2^{(s^2)}\ln 2(s^2)'=2^{(s^2)}\ln2\times(2s)$$
$$y'=2^{(s^2+1)}s\ln2$$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.