Exams
Subjects
Classes
Home
Exams
Mathematics
Differential Calculus
the point of inflection o...
Question:
medium
The point of inflection of the function $f(x)=x^3$ in the interval $[-1,1]$ is
Show Hint
To find the point of inflection, first compute the second derivative and then check whether its sign changes at the critical value.
KSEAB Class XII - 2026
KSEAB Class XII
Updated On:
Apr 3, 2026
Show Solution
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on Differential Calculus
If \( y = f(x) \) satisfies the differential equation
\[ (x^2 - 4)y' - 2xy + 2x(4 - x^2)^2 = 0 \]
and \( f(3) = 15 \), then find the local maximum value of \( f(x) \):
JEE Main - 2026
Mathematics
Differential Calculus
View Solution
The derivative of $\sin^{-1}x$ exists in the interval
KSEAB Class XII - 2026
Mathematics
Differential Calculus
View Solution
If $m$ and $n$ are respectively the order and degree of the differential equation $2x^2\dfrac{d^2y}{dx^2}-3\dfrac{dy}{dx}+y=0$, then $m+n=$
KSEAB Class XII - 2026
Mathematics
Differential Calculus
View Solution
The left hand derivative of $|x|$ with respect to $x$ at $x=0$ is
KSEAB Class XII - 2026
Mathematics
Differential Calculus
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in KSEAB Class XII exam
Write any two examples for financing activities.
KSEAB Class XII - 2026
Cash Flow Statement
View Solution
A matrix has 13 elements. The number of possible different orders it can have is
KSEAB Class XII - 2026
Matrices
View Solution
If $F$ is an event of a sample space $S$, then $P(S|F)=$
KSEAB Class XII - 2026
Probability
View Solution
The probability of obtaining an even prime number on each die when a pair of dice is rolled is
KSEAB Class XII - 2026
Probability
View Solution
The value of $\hat{i}\cdot\hat{i}+\hat{j}\cdot\hat{j}$ is
KSEAB Class XII - 2026
Vectors
View Solution