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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x)=10cos⁡x+(13+2x)sin⁡x,f\left( x \right) = 10\cos x + \left( {13 + 2x} \right)\sin x, then f′′(x)+f(x)f''\left( x \right) + f\left( x \right) is equal to
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Correct option: B
4cos⁡x4\cos x
Option B (4cos⁡x4\cos x) is correct because after finding the second derivative and adding it to the original function, the terms simplify to 4cos⁡x4\cos x.

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