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Question

Differentiate the following functions with respect to x :

x+cos xtan x

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Solution

Let u=x+cos x,v=tan x

Then u=1sin x,v=sec2x

Using the quotient rule

dydx(uv)=vuuvv2

ddx(x+cos xtan x)=tan x(1sin x)(x+cos x)sec2xtan2x


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