If f(x)=10 cos x+(13+2 x) sin x,then f^{prime | vedclass

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(B) Given that $f(x)=10 \cos x+(13+2 x) \sin x \quad ...(i)$On differentiating with respect to $x$,we get$f^{\prime}(x)=-10 \sin x+(13+2 x) \cos x+2 \

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$4 \cos x$

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(B) Given that $f(x)=10 \cos x+(13+2 x) \sin x \quad ...(i)$On differentiating with respect to $x$,we get$f^{\prime}(x)=-10 \sin x+(13+2 x) \cos x+2 \sin x$$f^{\prime}(x)=-8 \sin x+(13+2 x) \cos x$Again differentiating with respect to $x$,we get$f^{\prime \prime}(x)=-8 \cos x+(13+2 x)(-\sin x)+2 \cos x$$f^{\prime \prime}(x)=-6 \cos x-(13+2 x) \sin x \quad ...(ii)$On adding equations $(i)$ and $(ii)$,we get$f^{\prime \prime}(x)+f(x) = [-6 \cos x-(13+2 x) \sin x] + [10 \cos x+(13+2 x) \sin x]$$f^{\prime \prime}(x)+f(x) = 4 \cos x$

If $f(x)=10 \cos x+(13+2 x) \sin x$,then $f^{\prime \prime}(x)+f(x)$ is equal to

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