Find the differential of each function. (a) y = tan( 7t )

Find the differential of each function. y = tan 7

Answer

\ text{Given }y=tan{sqrt{7t}},text{ then}\ begin{aligned} frac{dy}{dt}&=frac{d}{dt}[tan{sqrt{7t}}]\ &=sec^2{sqrt{7t}}frac{d}{dt}[sqrt{7t}]\ &=sec^2{sqrt{7t}} frac{1}{2sqrt{7t}}frac{d}{dt}[7t]\ &=sec^2{sqrt{7t}} frac{1}{2sqrt{7t}}7\ &=frac{7sec^2{sqrt{7t}}}{2sqrt{7t}} end{aligned}\ Rightarrow dy=frac{7sec^2{sqrt{7t}}}{2sqrt{7t}} dt.

Leave a Reply

Your email address will not be published. Required fields are marked *

Related Posts