question archive The derviative is ##-pisin(pix)## You must use the chain rule to calculate this derivative since there is a function (##pi*x##) inside of another function (the cosine function ##cos(pix)##)
The derviative is ##-pisin(pix)## You must use the chain rule to calculate this derivative since there is a function (##pi*x##) inside of another function (the cosine function ##cos(pix)##)
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The derviative is ##-pisin(pix)##
You must use the chain rule to calculate this derivative since there is a function (##pi*x##) inside of another function (the cosine function ##cos(pix)##).
First, take the derivative of the outside function (which is cosine in this case) without touching the inside and then multiply by the derivative of the inside function (##pix## for this problem).
The derivative of ##cos(x)## is ##-sin(x)## and the derivative of ##pi*x## is ##pi## (since ##pi## is a constant, albeit an irrational one) so the derivative for the entire thing is ##-sin (pi*x) * (pi)##.
