Question:medium

If $(x/a)^n + (y/b)^n = 2$, then $dy/dx$ at $(a,b)$ is

Show Hint

For curves of form $(x/a)^n + (y/b)^n = C$, the slope at $(a,b)$ is always $-b/a$.

Updated On: Jul 4, 2026

$a/b$
$-a/b$
$b/a$
$-b/a$

Show Solution

The Correct Option is D

Solution and Explanation

Was this answer helpful?

0

Top Questions on Partial Differential Equations

Which of the following equations belong/belongs to the class of second-order, linear, homogeneous partial differential equations?
- GATE CE - 2025
- Engineering Mathematics
- Partial Differential Equations
View Solution
The differential equation \[ 2\frac{\partial^2 z}{\partial x^2} + 5\frac{\partial^2 z}{\partial x\partial y} + 2\frac{\partial^2 z}{\partial y^2} + 7\frac{\partial z}{\partial x} + \frac{\partial z}{\partial y} =0 \] is classified as
- TS PGECET - 2026
- Mathematics
- Partial Differential Equations
View Solution
If $z = x^2 y + e^{xy^2}$, then $\left(\frac{\partial^2 z}{\partial x^2} + \frac{\partial^2 z}{\partial x \partial y}\right)$ evaluated at $(1,0)$ is:}
- TS PGECET - 2026
- Mathematics
- Partial Differential Equations
View Solution
The solution of $\frac{\partial^2 z}{\partial x^2} + z = 0$, satisfying $z(0,y) = e^y$, $\left(\frac{\partial z}{\partial x}\right)_{x=0} = 1$ is $z(x,y) = $}
- TS PGECET - 2026
- Mathematics
- Partial Differential Equations
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in AP ECET Metallurgical Eng exam

Order of the matrix $\begin{bmatrix} 1 & 6 \\ 2 & 0 \\ 7 & -1 \end{bmatrix}$ is

If two rows (or columns) of a determinant of order 3 are identical then the value of determinant is

Co-factor of -4 in $\begin{vmatrix} 1 & 2 & 3 \\ -4 & 3 & 6 \\ 2 & -7 & 9 \end{vmatrix}$ is

The Matrix $\begin{bmatrix} a & h & g \\ h & b & f \\ g & f & c \end{bmatrix}$ is