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Mathematics 20 Online
OpenStudy (anonymous):

Differentiate please

OpenStudy (anonymous):

\[y=(u-\sqrt{u})(u+\sqrt{u})\]

hartnn (hartnn):

multiply them out \((a+b)(a-b) = a^2 -b^2\)

OpenStudy (anonymous):

I am using the product rule

OpenStudy (anonymous):

2u ?

hartnn (hartnn):

is it asked to necessarily use the product rule ? if not, it would be much easier without the product rule

OpenStudy (anonymous):

gf'+fg'

hartnn (hartnn):

how did u get 2u ?

OpenStudy (anonymous):

i got f(x)=u^2-u

OpenStudy (anonymous):

so f'(x)= 2u

OpenStudy (kainui):

What is the derivative of u?

OpenStudy (anonymous):

zero?

hartnn (hartnn):

u^2-u is correct but its derivative is not just 2u

OpenStudy (kainui):

Nope, cause u is not a constant. Remember if you were to graph u on a graph, it would be a line with a slope of 1.

OpenStudy (anonymous):

2u-1

hartnn (hartnn):

yes, thats correct :)

OpenStudy (anonymous):

thanks!

hartnn (hartnn):

welcome ^_^

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