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How do you find the derivative of #f(u)=sqrtu+2#?

Answer 1

Paisley Johnson

#f'(u)=1/(2sqrtu)#

differentiate using the #color(blue)"power rule"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(2/2)|)))#

express #sqrtu" in the form " u^(1/2)#

#f(u)=u^(1/2)+2#

#rArrf'(u)=1/2u^(-1/2)+0=1/(2u^(1/2))=1/(2sqrtu)#

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Answer 2

Isaiah Allen

To find the derivative of ( f(u) = \sqrt{u} + 2 ), you can use the power rule for derivatives. The derivative is ( f'(u) = \frac{1}{2\sqrt{u}} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.