Asked by Matthew
Differentiate and simplify the following using the product rule and simplify completely: y = (√x)(1/x)
Answers
Answered by
Matthew
Nevermind, I solved it. The final result is -x/(2x^2√x), which can be simplified further into: -1/2√(x^3)
Answered by
oobleck
(√x)(1/x) = 1/√x = x^(-1/2)
so you are correct. The derivative is -1/2 x^(-3/2)
But I guess you simplified the result of the product rule:
1/2 (1/√x)*(1/x) + (√x)(-1/x^2)
so you are correct. The derivative is -1/2 x^(-3/2)
But I guess you simplified the result of the product rule:
1/2 (1/√x)*(1/x) + (√x)(-1/x^2)
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