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Mathematics 10 Online
OpenStudy (anonymous):

Step by Step help? ;D

OpenStudy (anonymous):

question??

OpenStudy (anonymous):

\[y=\frac{ \cos(x) }{ x-2^{x} }\] finding dy/dx

OpenStudy (anonymous):

I know I use the quotient rule

OpenStudy (anonymous):

the equation for finding slopes of such equations are dy/dx = u'(v) - v'u/(v^2), with u being the numerator and v being the denominator and u' and v' being the derivative of each u and v

OpenStudy (anonymous):

oh lol don't know how to find the derivative for the denominator

OpenStudy (anonymous):

nor do I... that's what I'm stuck on

OpenStudy (anonymous):

|dw:1355385256235:dw|

OpenStudy (anonymous):

maybe its 1 - x2^(x-1)

OpenStudy (anonymous):

the same way u wud treat a regular exponent

OpenStudy (anonymous):

1-2^{x}ln(2)

OpenStudy (anonymous):

d/dx(x-2^x)=1-2^x(ln(-2)

OpenStudy (anonymous):

I figured it out, thank you guys!

OpenStudy (anonymous):

so whats the derivative of the bottom?

OpenStudy (anonymous):

the answer is.. \[\frac{ (-sinx)(x-2^{x})-(\cos(x))(1-2^{x}\ln(2)) }{ (x-2^{x})^{2} }\]

OpenStudy (anonymous):

lol wolfram alpha?

OpenStudy (anonymous):

uhm no, the answer in my study guide thank you very much.

OpenStudy (anonymous):

you don't find the derivative of the denom? it stays like that lol

OpenStudy (anonymous):

u need to find it for the top

OpenStudy (anonymous):

and I did lol!

OpenStudy (anonymous):

nice

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