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Differentiation question

2023 · 30 Jan · Shift 1 · Q38

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PYQ Library
JEE Main
Mathematics
Differentiation
2023 · 30 Jan · Shift 1 · Q38

Differentiation question

2023 · 30 Jan · Shift 1 · Q38

JEE MainMathematicsDifferentiationNumerical+4 / −1

Let

f^{1}(x)=\frac{3 x+2}{2 x+3}, x \in \mathbf{R}-\left\{\frac{-3}{2}\right\}

For

\mathrm{n} \geq 2

, define

f^{\mathrm{n}}(x)=f^{1} \mathrm{o} f^{\mathrm{n}-1}(x)

. If

f^{5}(x)=\frac{\mathrm{a} x+\mathrm{b}}{\mathrm{b} x+\mathrm{a}}, \operatorname{gcd}(\mathrm{a}, \mathrm{b})=1

, then

\mathrm{a}+\mathrm{b}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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