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differentiation of tan (1 Viewer)

apak

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differentiate xtanx
the answer books answer is xsec²x + tanx
but my answer is xsec²x.
was it a error in the book?
thanks
 

tennille

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You use the product rule:

u=x, v=tanx, u'=1, v'=sec²x

d/dx=vu'+uv'
d/dx=tanx*1+x*sec²x
d/dx=tanx+xsec²x
 

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