Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

If $f(x) =3x^2 +10x-5,$ then by using the concept of differentials, the approximate value of $f(2.03)$ is :

Options:

37.66

47.66

17.66

27.66

Correct Answer:

27.66

Explanation:

The correct answer is Option (4) → 27.66

$2.03=2+0.03$

$x=2$

$Δx=0.03$

so $f(x.Δx)=f(x)+\left.\frac{df}{dx}\right]_x(Δx)$

so $f(2.03)=f(2)+(6x+10)_{x=2}(0.03)$

$=27+22×0.03$

$=27.66$