COMEDK2024MathematicsApplication of Derivatives

The approximate value of (0.026)^ 3 is

Options

A7 27
B8 27
C5 27
D4 27

Correct answer

B. 8 27

Step-by-step solution

Let f(x)=x^ 1 3 and x=0.027 x=-0.001 Now use, f(x+ x)=f(x)+ x f^ (x) f^ (x)= 1 3(x)^ 2 3 Now, f(0.027) f(0.027)-(0.001) 1 3(0.027)^ 2 3 aligned & (0.3)- 1 1000 1 3 (0.3)^2 & 0.3- 1 1000 100 27 3 10 - 1 270 & 80 270 8 27 aligned

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