MHT CET20249 May 2024Evening ShiftMathematicsApplication of DerivativesActual

The approximate value of (3 978)^ 3 / 2 is

Options

A7.096
B8.096
C7.934
D8.934

Correct answer

C. 7.934

Step-by-step solution

array ll & Let f (x)=x^ 3 2 & f ^ (x)= 3 2 x^ 1 2 array Here, a =4 and h =-0.022 . aligned & & f(a)=f(4)=4^ 3 2 =8 & f^ (a)=f^ (4)= 3 2 (4)^ 1 2 =3 & f(a+h) f(a)+h f^ (a) & 8+(-0.022)(3) & 8-0.066 & 7.934 aligned

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