Class 12 Application of Derivatives Quiz-1

Leave a Comment / By Ankur Negi / Last Updated: 9 December 2025

This is a free quiz/test based on the chapter Application of Derivatives from Class 12th Maths.
This quiz covers only the basic concepts of the chapter.
Give this quiz seriously and access you level of preparations.

Welcome to your Application of Derivative Quiz 1

1. A function f is said to be increasing in interval I if

x_1 < x_2 \implies f(x_1) < f(x_2)

x_1 < x_2 \implies f(x_1) < f(x_2)

x_1 > x_2 \implies f(x_1) > f(x_2)

None of These

None

2. A function f is a constant function in [a, b] if

f'(x) >0 \text{ for each } x \in (a,b)

f'(x) <0 \text{ for each } x \in (a,b)

f'(x) = 0 \text{ for each } x \in (a,b)

f'(x) > 0 \ at \ x=a \ and \ x=b

None

3. Statement: Every monotonic function f assumes its maximum/minimum value at the end points of the domain of definition of the function.

True

False

None

4. Let f be a function defined on an interval I and c ∈ I. Then c is a point of local minima if

f'(c) = 0 \ and \ f''(c)>0

f'(c) = 0 \ and \ f''(c)<0

f'(c) = 0 \ and \ f''(c)=0

None of these

None

5. If y decreases as x increases then $\frac{dy}{dx}$ is

Positive

Negative

0

Can be either positive or Negative

None

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