函数y=sin(2x−5)x的导函数为y=2xcos(2x−5)−sin(2x−5)x2y=2xcos(2x−5)−sin(2x−5)x2.
举一反三
- 函数\(y = \sin{x^2}\)的导数为( ). A: \( - 2x\sec {x^4}\) B: \(2x\cos {x^2}\) C: \(2x\sec {x^2}\) D: \(- 2x\sec {x^2}\)
- 已知\( y = {x^3}\cos 2x \),则\( y'' \)为( ). A: 0 B: \( 6x\cos 2x{\rm{ + }}12{x^2}\sin 2x - 4{x^3}\cos 2x \) C: \( 6x\cos 2x - 12{x^2}\sin 2x{\rm{ + }}4{x^3}\cos 2x \) D: \( 6x\cos 2x - 12{x^2}\sin 2x - 4{x^3}\cos 2x \)
- 已知\( {y^{(4)}} = {x^2} + 2x \),则\( {y^{(5)}} = 2x + 2 \)( ).
- 函数\(y = {\sin ^2}x\)的导数为( ). A: \(\cos 2x\) B: \(\sin 2x\) C: \( - \sin 2x\) D: \(- \cos 2x\)
- 【单选题】设 f ( 1-cos x ) =sin 2 x, 则 f ( x ) = A. x 2 +2x B. x 2 -2x C. -x 2 +2x D. -x 2 -2x