MHT CET202015 Oct 2020Evening ShiftMathematicsApplication of DerivativesActual

The approximate value of the function f (x)=x³+5 x²-7 x+10 at x=1 1 is

Options

A7 6
B8 6
C6 6
D9 6

Correct answer

D. 9 6

Step-by-step solution

Given f(x)=x³+5 x²-7 x+10 f^ (x)=3 x²+10 x-7 Let a=1, h=0.1 f (1)=1+5-7+10=9 and f ^ (1)=3+10-7=6 We know that f ( a + h ) f ( a )+ hf ^ ( a )f(1.1)=9+(0.1)(6)=9+0.6=9.6

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