设函数f(sinx)=sin2x，则fˊ(x)等于（）.
A: 2cosx
B: -2sinxcosx
C: %
D: 2x
A: 2cosx
B: -2sinxcosx
C: %
D: 2x
举一反三
- 【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
- 设 $f(\sin x)=\cos2x+1$，则 $f(\cos x)=$（ ）. A: $\cos^2x$ B: $-2\cos^2x$ C: $-2\sin^2x$ D: $2-2\cos^2x$
- 设f（x）满足f（-sinx）+3f（sinx）=4sinx•cosx（|x|≤π2）．
- 17e0b849d3a4a3b.jpg,计算[img=19x34]17e0ab14a855463.jpg[/img]的实验命令为（ ）. A: syms x; f=diff((1+sin(x)^2)/cos(x),1)f=2*sin(x) + (sin(x)*(sin(x)^2 + 1))/cos(x)^2 B: f=diff((1+sinx^2)/cosx,1)f=1/2/x^(1/2)/(1-x)^(1/2) C: syms x;f=diff((1+sinx^2)/cosx,1)f=2*sin(x) + (sin(x)*(sin(x)^2 + 1))/cos(x)^2
- 【单选题】5.设f 0 (x)=sinx,f 1 (x)=f 0 ′(x),f 2 (x)=f 1 ′(x),...,f n +1 (x)=f n ′(x),n∈N,则f 2011 (x)等于() A. sinx B. -sinx C. cosx D. -cosx