Question

find dy/dx and then put x = 1/4
y=x+1/sqrt{x}

Answer 1

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Answer 2

Is this the question you wanted to discuss?

Answer 3

Assuming that you want to find the derivative of y=x+1/sqrt{x}:

I'd strongly suggest that you re-write the function first, as\[f(x) = x +\frac{ 1 }{ \sqrt{x} }=x+x ^{\frac{ -1 }{ 2 }}\]

Answer 4

Hope this helps you. Differentiate with respect to x, using the power rule.

Simplify the results.

Finally, evaluate this derivative at x = 1/4.

f '(1/4) = ????