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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x)=beax+aebxf\left( x \right) = b{e^{ax}} + a{e^{bx}}, then f′′(0)f''\left( 0 \right) is equal to
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Correct option: C
ab(a+b)ab\left( {a + b} \right)
Option C (ab(a + b)) is correct because finding the second derivative and evaluating at x=0 gives ab(a+b).

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