Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

If $f(x)=3 x^2+10 x-5$, then by using differentials the appropriate 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

$f(2)=3×4+10×2-5=27$

$f'(x)=6x+10$

so $f(2.03)=f(2)+\left.\frac{df(x)}{dx}\right]_{x=2}×Δx$

$=27+(22)×0.03$

$=27.66$