MHT CET202020 Oct 2020Evening ShiftMathematicsApplication of DerivativesActual

The approximate value of (66)^ 1 3 is

Options

A4.0416
B4.0447
C4.0433
D4.0481

Correct answer

A. 4.0416

Step-by-step solution

Let a =64, ~h =2 and let f ( x )= x ^ 1 3 f ^ ( x )= 1 3 x ^ - 2 3 = 1 3 x ^ 2 3 f ( a )=64^ 1 3 =4 and f ^ ( a )= 1 3(64)^ 2 3 = 1 3(16) = 1 48 We have f ( a + h ) f ( a )+ h f ^ ( a ) (66)^ 1 3 4+(2) ( 1 48 ) 4+ 1 24 4.0416

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