Differentiation ~

2006-11-20 7:09 am
s = [8x/ √(1+x^2 ) ] - x

Find ds/dx,,

Find vaules of x .

回答 (3)

2006-11-23 4:43 am
✔ 最佳答案
S = 8x(1+x2)^(-1/2) – x

dS/dx = 8(1+x^2)^(-1/2) + 8x(-1/2)(1+x^2)^(-3/2)(2x) -1

= 8(1+x^2)^(-1/2) – 8x^2(1+x^2)^(-3/2) -1

= 8(1+x^2)^(-3/2)[ (1+ x^2) - x^2 -1]

= 8(1+x^2)^(-3/2)
2006-11-20 7:39 am
use the substitution x=tany
2006-11-20 7:37 am
x=s/7


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