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Differentiation question

2022 · 29 Jun · Shift 2 · Q39

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JEE Main
Mathematics
Differentiation
2022 · 29 Jun · Shift 2 · Q39

Differentiation question

2022 · 29 Jun · Shift 2 · Q39

JEE MainMathematicsDifferentiationNumerical+4 / −1

Let f and g be twice differentiable even functions on (

-

2, 2) such that

f\left( {{1 \over 4}} \right) = 0

,

f\left( {{1 \over 2}} \right) = 0

,

f(1) = 1

and

g\left( {{3 \over 4}} \right) = 0

,

g(1) = 2

. Then, the minimum number of solutions of

f(x)g''(x) + f'(x)g'(x) = 0

in

( - 2,2)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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