Application of Derivatives PYQs - Last 5 Years
BITSAT / Mathematics / Calculus / 10 recent questions
MathematicsCalculus2021-2025
Practice 10 BITSAT Mathematics questions from Application of Derivatives. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
10
PYQs on Page
Mathematics / Calculus
2021-2025
Year Range
Based on indexed question metadata
10
Last 5 Years
2021-2025
10
Last 10 Years
2016-2025
Recent Year Trend
2021
2022
2023
2024
2025Latest year
20213 max PYQs/year2025
Question Types
10PYQs
MCQ100%
Difficulty Mix
#1 Unknown10
10 in last 5 years10 in last 10 years
Last 5 Years Application of Derivatives Questions
Showing 10 of 10 filtered questions.
1Application Of Derivatives
The slope of the curve $2 y^2=a x^2+b$ at $(1,-1)$ is -1 . Then, the value of $b$ is
MCQ+3 / -12025
2Application Of Derivatives
For what values of the parameter ' $a$ ' does the function $f(x)=x^3+3(a-7) x^2+3\left(a^2-9\right) x-1$ have a positive point of maximum.
MCQ+3 / -12025
3Application Of Derivatives
The function $f(x)=\frac{x}{\sin x}$ is strictly increasing in the interval.
MCQ+3 / -12025
4Application Of Derivatives
The maximum area of rectangle inscribed in a circle of diameter $ R $ is
MCQ+3 / -12024
5Application Of Derivatives
Consider the function $ f(x)=\frac{|x-1|}{x^{2}} $, then $ f(x) $ is
MCQ+3 / -12024
6Application Of Derivatives
Water is being filled at the rate of \(1 \mathrm{~cm}^3 / \mathrm{s}\) in a right circular conical vessel (vertex downwards) of height \(35 \mathrm{~cm}\) and diameter \(14 \mathrm{~cm}\). When the height of the water levels is $$10 \mathrm...
MCQ+3 / -12023
7Application Of Derivatives
A cylindrical tank of radius \(10 \mathrm{~m}\) is being filled with wheat at the rate of \(200 \pi\) cubic metre per hour. Then, the depth of the wheat is increasing at the rate of
MCQ+3 / -12023
8Application Of Derivatives
A spherical balloon is filled with 4500\(\pi\) cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72\(\pi\) cubic meters per minute then the rate (in meters per minute) at which the radius of the ba...
MCQ+3 / -12022
9Application Of Derivatives
A running track of 440 ft is to be laid out enclosing a football field, the shape of which is a rectangle with a semi-circle at each end. If the area of the rectangular portion is to be maximum, then the lengths of its side are
MCQ+3 / -12022
10Application Of Derivatives
The slope of the tangent to the curve x = t2 + 3t \(-\) 8, y = 2t2 \(-\) 2t \(-\) 5 at the point t = 2 is
MCQ+3 / -12021