Hello! My question is Find the derivative of each function defined as follows y=6/4√x
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If the square root is in the denominator then the derivative of this problem is:
(negative) - [6/8] * x ^ (-3/2).
rewrite the expression as [6/4] * x^( - 1/2)
Then: (- 1/2) * (6/4) * x^( - 1/2 -- 2/2)
Which is: ( - 6/8) * x^( - 3/2).
(negative) - [6/8] * x ^ (-3/2).
rewrite the expression as [6/4] * x^( - 1/2)
Then: (- 1/2) * (6/4) * x^( - 1/2 -- 2/2)
Which is: ( - 6/8) * x^( - 3/2).
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If you know that √x = x^(1/2), and that 1/(√x) = x^(-1/2), then you'll see that this is a very basic application of the power rule. I'm not sure which it is, but this should be enough information to make the problem very simple.