Derivative of a long function


by PrudensOptimus
Tags: derivative, function
PrudensOptimus
PrudensOptimus is offline
#1
Oct27-03, 08:02 PM
P: 640
What is the derivative of

y = (x^3/2)(sinxcosx)^2

is it

(x^3/2)(2sinxcosx)(cos^2x - sin^2x) + (3sqrt(x)/2)(sinxcosx)^2 ?
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StephenPrivitera
StephenPrivitera is offline
#2
Oct27-03, 10:24 PM
P: 364
yes, I get that answer too
but the derivative becomes easier and neater if you notice that sinxcosx=1/2sin2x


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