QJEEAdv06Mad500: JEE Advanced 2006 Mathematics - Class 12 JEEAdv06Mad500 Solution: For a twice differentiable function is defined as on If for…

Question

Verified Solution • 2025–26 Session moderate

For a twice differentiable function

f(x),g(x)

is defined as

4\sqrt {65} g\left( x \right) = \left( {f'{{\left( x \right)}^2} + f''\left( x \right)} \right)\,\,f\left( x \right)

on

\,\,\,\left[ {a,\,\,\,e} \right].

If for

a &lt; b &lt; c &lt; d &lt; e,\,f\left( a \right) = 0,f\left( b \right) = 2,f\left( c \right) = - 1,f\left( d \right) = 2,f\left( e \right) = 0

then find the minimum number of zeros of

g(x)

.

Accepted Answer

Answer

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