Find the derivative of f(x) =xsinx from first principle
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f(x)=x sin x
f'(x) = x cos x + sin x
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if y=f(x) g (x)
then differentiation w.r.t.x
- dy/dx=f(x) dg(x)/dx+g(x)df(x)/dx
Now Use This
- y=x.sinx
- dy/dx=x.d (sinx)/dx+sinx.dx/dx
- =x.cosx+sinx
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