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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
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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)
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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?
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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