What is the first derivative of the function x*sinx+cosx ?

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We have to find the first derivative of f(x) = x*sin x + cos x

f'(x) = x*(sin x )' + x'* sin x + (cos x)'

=> f'(x) = x cos x + sin x - sin x

=> f'(x) = x cos x

Therefore the first derivative of...

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We have to find the first derivative of f(x) = x*sin x + cos x

f'(x) = x*(sin x )' + x'* sin x + (cos x)'

=> f'(x) = x cos x + sin x - sin x

=> f'(x) = x cos x

Therefore the first derivative of x*sin x+cos x is x cos x.

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