Mathematics
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OpenStudy (amenah8):
find dy/dx for y=cos(ln2x^2) CLICK to see my answer, but I do not know if it is right...
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OpenStudy (amenah8):
Product rule: cos(1/2x^2) + (ln2x^2)(-sin)
OpenStudy (ac3):
is this the original...
OpenStudy (amenah8):
No, that's as far as I have gotten. but i do not know if i am on the right track...
OpenStudy (ac3):
\[y=\cos(\ln2x ^{2})\]
OpenStudy (ac3):
no i mean that ^ is that the original?
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OpenStudy (amenah8):
^yes that is the original problem
OpenStudy (ac3):
then no your wrong
OpenStudy (ac3):
ln2x^2 is the angle
OpenStudy (ac3):
it's not being multiplied with cosine.
OpenStudy (ac3):
for you to do product rule it would have to look like this....
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OpenStudy (ac3):
\[\cos(x)\ln(2x ^{2})\]
OpenStudy (amenah8):
oh! so is this the chain rule?
OpenStudy (ac3):
yes
OpenStudy (ac3):
start with the outside leave the inside alone, then take derivative of inside.
OpenStudy (amenah8):
so: -sin(ln2x^2)(1/2x^2) ?
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OpenStudy (ac3):
almost
OpenStudy (amenah8):
that last part is 1/(2x^2)
OpenStudy (ac3):
missing something
OpenStudy (ac3):
what is the derivative of lnx?
OpenStudy (amenah8):
1/x
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OpenStudy (amenah8):
so 1/(2x^2) ?
OpenStudy (ac3):
your really close here let me give you a hint and i think your gonna get it.
OpenStudy (ac3):
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