Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (amenah8):

find dy/dx for y=cos(ln2x^2) CLICK to see my answer, but I do not know if it is right...

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?

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....

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) ?

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

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):

|dw:1449012267027:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!