MHT CET202020 Oct 2020Morning ShiftMathematicsApplication of DerivativesActual

The approximate value of f(x)=3 x²+5 x+3 at x=3 02 is

Options

A45.46
Bv=45 46
C44 76
D44 46

Correct answer

B. v=45 46

Step-by-step solution

Given f(x)=3 x²+5 x+3 f^ (x)=6 x+5 Let a =3, ~h =0.02 f ( a ) = f (3)=27+15+3=45f^ (a)=f^ (3) =18+5=23 We know that aligned f ( a + h ) & f ( a )+ hf ^ ( a ) &=45+(0.02)(23)=45+0.46=45.46 aligned

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