微積分 導數

求f ' (a)f(x)=-8 , a=5, f’(x) = 0, f’(5) = 0f(x)=-3x-5 , a=10, f’(x) = -3, f’(10) = -3f(x)=-(x-2)平方 , a=-1, f’(x) = -1, f’(-1) = -1f(x)=x-1分之3 , a=0, f’(x) = (3/(x – 1))’ = -3/(x – 1)^2, f’(0) = -3 求導數f(x)=8, f’(x) = 0f(x)=-3x, f’(x) = -3f(x)=9x+更號2, f’(x) = 9f(x)=3x+1, f’(x) = 3f(x)=x三方-2x-1, f’(x) = 3x^2 – 2f(x)=更號x, f’(x) = (1/2)/√xf(x)=更號x+1分之1, f’(x) = ((x+1)^(-1/2))’ = (-1/2) ((x+1)^(-3/2)) 求極限limx趨近於0 x分之(1+x)(1+2x)(1+3x)-1 = lim(xà0)( (1+x)(1+2x)(1+3x)-1)’/(x)’= lim(xà0)( (1+x)’(1+2x)(1+3x)+ (1+x)(1+2x)’(1+3x)+ (1+x)(1+2x)(1+3x)’)/1= lim(xà0)( (1)(1+2x)(1+3x)+ (1+x)(2)(1+3x)+ (1+x)(1+2x)(3))= 1 + 2 + 3 = 6 limx趨近於6 x平方-7x+6分之2x-17 + x-6分之x-5= lim(xà6)((2X – 17)/(X^2 – 7X + 6) + (X – 5)/(X – 6))= lim(xà6)((2X – 17)/((X – 1)(X - 6)) + (X – 5)/(X – 6))= lim(xà6)((2X – 17) + (X – 1)(X – 5))/((X – 1)(X - 6)))= lim(xà6)((X^2 – 4X -12)/((X – 1)(X - 6)))= lim(xà6)((X + 2)(X – 6))/((X – 1)(X - 6)))= lim(xà6)((X + 2)/(X – 1))= 8/5

每一題都要問，可見都不用腦袋，這樣還想做微積分？？？
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