y=2$Sin^{2}$x-x+15 giúp mình ạ Question y=2$Sin^{2}$x-x+15 giúp mình ạ in progress 0 Môn Toán Farah 3 years 2021-04-26T12:05:58+00:00 2021-04-26T12:05:58+00:00 2 Answers 17 views 0
Answers ( )
\(\begin{array}{l}
\quad y = 2\sin^2x – x + 15\\
\to y’ = 2(\sin^2x)’ – (x’) + (15)’\\
\to y’ = 2.2\sin x.(\sin x)’ – 1 + 0\\
\to y’ = 4\sin x.\cos x – 1\\
\to y’ = 2\sin2x – 1
\end{array}\)
Đáp án: `y’=2sin2x -1`
Giải thích các bước giải:
`y= 2sin²x -x+15`
`=> y’= 2.2sinx.cosx -1+0`
`=> y’=2sin2x -1`
ADCT:
`sin^{n}x = n.sin^{n-1}x.cosx`