MHT CET202415 May 2024Morning ShiftMathematicsApplication of DerivativesActual

The approximate value of 3^ 2.001 , if 3=1.0986 is

Options

A9.00898
B9.0989
C9.0898
D9.00989

Correct answer

D. 9.00989

Step-by-step solution

aligned & Let f (x) & =3^x f^ (x) & =3^x 3 Here, a & =2 and h =0.001 f ( a + h ) & f ( a )+ hf ^ ( a ) & f (2)+(0.001)+ f ^ (2) & 3^2+(0.001) (3^2 3 ) & 9+(0.001)(9 1.0986) & 9+0.00989 & 9.00989 aligned

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