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Most Important Selected Qs for JEE AdvancedMathematicsDifferentiation

Let f: R R be defined as f(x)=(2 x-3 )^3+ 4 x 3 + x and g=f⁻¹ , then find the value of 7 g^ (2 )+3 g^ (2 ) .

Correct answer

3

Step-by-step solution

g^ (f(x))= 1 f^ (x) g^ (2 )= 1 f^ ( 3 2 ) = 1 ( 7 3 ) = 3 7 And aligned & g^ (f(x))= -f^ (x) (f^ (x) )^3 & g^ (2 )= -f^ ( 3 2 ) (f^ ( 3 2 ) )^3 =0 aligned 7 g^ (2 )+3 g^ (2 )=3

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