How do you find the derivative of cos(pi x)?

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The derviative is ##-pisin(pix)##

You must use the obligation government to rate this derivative gone there is a capacity (##pi*x##) internally of another capacity (the cosine capacity ##cos(pix)##).

First, transfer the derivative of the beyond capacity (which is cosine in this subject) extraneously pathetic the internally and then swell by the derivative of the internally capacity (##pix## for this problem).

The derivative of ##cos(x)## is ##-sin(x)## and the derivative of ##pi*x## is ##pi## (gone ##pi## is a invariable, albeit an irrational one) so the derivative for the whole man is ##-sin (pi*x) * (pi)##.

Hope that helps!

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