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anonymous
 3 years ago
HELP : HOW TO FIND DERIVATIVE SQUARE ROOT OF 86*X^2
anonymous
 3 years ago
HELP : HOW TO FIND DERIVATIVE SQUARE ROOT OF 86*X^2

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the derivative of \(\sqrt{f(x)}\) is \[\frac{f'(x)}{2\sqrt{f(x)}}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0can we do this step by step please.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the steps are what i wrote above take the derivative of \(86x^2\) and by the power rule, you get \(12x\) that goes in the numerator in the denominator you put \(2\sqrt{86x^2}\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh... why do we put that as the denominator?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0all that is left to do is cancel a 2 top and bottom

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the derivative of \(\sqrt{x}\) is \(\frac{1}{2\sqrt{x}}\) therefore by the chain rule the derivative of \(\frac{1}{f}\) is \(\frac{f'}{2\sqrt{f}}\) where \(f\) is any function

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0for example, the derivative of \(\sqrt{\sin(x)}\) is \[\frac{\cos(x)}{2\sqrt{\sin(x)}}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the derivative of \[\sqrt{3x^2+2x}\] is \[\frac{6x+2}{2\sqrt{3x^2+2x}}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0after i have 12x/ 2radical 86x^2.. how can i find the critical points?
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