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(5)y=3x2-2x+5 6=+ (7)y=x3+x3+3 (8)y=x-以x-2) (9)y=1-cosx sin .x (10)y=xcosx+snx (I1)y=2x'sinx (12)y=3tanx-4 (二)求复合函数的导数 (1)y=s功x2 (2)y=In cosx (3)y=- (4)y=h-x2) (5)y=c0s3x-5) (6)y=e2W (7)y-(2x+5 (8)y=arcsin 3 (9)y=x'smx (10)y=e cosx (11)y=snx2+sn2x (12)y=cos'x-sin 3x (13)y-m2x (14)y=V4-x (15)y=V3-2x (16)y=e2 (17)y=hcose (18)y=cos+h,1 2x-1 (三)求由方程F(xy)=0所确定的隐函数y=x)的导数 (1)y2=2x2+1 (2)y=xiny (3)y=1+xe (4)c0s()=x (5)x-3y+18x=6 (6)=ey (四)利用取对数求导法求下列网数的导数 (x+1Nx+2 (1)y= +3x+4) (2)y=+1%x-2x+3 (5) 3 2 5 2 y = x − x + (6) 1 1 2 = + + x y x (7) 3 3 3 = + + 3 − y x x (8) y = (x −1)(x − 2) (9) x x y 1 cos sin − = (10) y = x cos x + sin x (11) y 2x sin x 3 = (12) y = 3tan x − 4 (二)求复合函数的导数 (1) 2 y = sin x (2) y = ln cos x (3) 2 y = 1− x (4) ( ) 2 y = ln 1− x (5) y = cos(3x −5) (6) 2 +1 = x y e (7) ( ) 10 y = 2x + 5 (8) 3 arcsin x y = (9) 2 2 y = x sin x (10) y e x x cos − = (11) y x x 2 2 = sin + sin (12) y cos x sin 3x 3 = − (13) ( ) 3 y = ln 2x (14) 2 y = 4 − x (15) 2 y = 3 − 2x (16) 3 2x y = e (17) 2 ln cos x y e − = (18) 2 1 1 cos ln − = + x y x (三)求由方程 F(x,y)=0 所确定的隐函数 y=f(x)的导数 (1) 2 1 2 2 y = x + (2) y = x ln y (3) y y =1+ xe (4) cos(xy) = x (5) 3 18 6 2 xy − y + x = (6) x y xy e + = (四)利用取对数求导法求下列函数的导数 (1) ( )( ) ( 3)( 4) 1 2 + + + + = x x x x y (2) ( )( ) ( ) 2 3 y = x +1 x − 2 x + 3
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