Question #72122

1 Answer
Altrigeos
May 26, 2017

y'=5((x^(-1/2)-x^(-3/2))/2)^4

Explanation:

By the Chain Rule:
y=(x^(1/2)+x^(-1/2))^5
y'=5(d/(dx)[x^(1/2)+x^(-1/2)])^(5-1)
y'=5((x^(-1/2))/2+(-x^(-3/2))/2)^4
y'=5((x^(-1/2)-x^(-3/2))/2)^4

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