Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (anonymous):

help with derivative

OpenStudy (anonymous):

y=sin(cosx)

OpenStudy (anonymous):

I am not sure what to do but I think it would be chain rule

OpenStudy (anonymous):

chain rule \[(f\circ g)'=f(g)\times g'\] with \[f(x)=\sin(x), f'(x)=\cos(x), g'(x)=-\sin(x)\]

OpenStudy (anonymous):

so would it be sin(cosx)*-sinx

OpenStudy (anonymous):

no

OpenStudy (anonymous):

the first sine should be a cosine

OpenStudy (anonymous):

oh damn it is my fault, i wrote the rule down wrong!!

OpenStudy (anonymous):

so cos(cosx)*-sin(x)

OpenStudy (anonymous):

i forgot a prime \[\large (f\circ g)'=f'(g)\times g'\] sorry

OpenStudy (anonymous):

yes you are right, but neaten it up by pulling the minus sign out front, so you don't have to write "times minus..."

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!