Differentiation Application of Derivatives Questions for AGNIVEER NAVY

Free, AI-curated practice for the Differentiation Application of Derivatives section of AGNIVEER NAVY. We have 20+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · hard · AI-verified

Using differentials, the approximate value of √(25.1) correct to two decimal places is:

5.05
5.01
5.02
5.10

Q2 · hard · AI-verified

If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, the approximate error in its volume is:

27.0π cm³
4.86π cm³
3.24π cm³
9.72π cm³

Q3 · medium · AI-verified

The function f(x) = 2x³ − 9x² + 12x − 4 is increasing in the interval:

x < 1 or x > 2
1 < x < 2
x > 3
0 < x < 1

Q4 · medium · AI-verified

The slope of the tangent to the curve y = x² − 4x + 5 at the point (2, 1) is:

0
-4
4
2

Q5 · medium · AI-verified

The approximate value of √26 using differentiation (taking f(x) = √x, x = 25) is:

5.2
5.05
5.1
5.01

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Differentiation Application of Derivatives Questions for AGNIVEER NAVY

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