Find d y d x if x^2 y^2- ^ -1 (x^2+y^2 )= ^ -1 (x^2+y^2 ) - Vidyadip

Question

Find $\frac{d y}{d x}$ if

$x^2 y^2-\tan ^{-1}\left(\sqrt{x^2+y^2}\right)=\cot ^{-1}\left(\sqrt{x^2+y^2}\right)$

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(3 Marks)" from Differentiation→Differentiation — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the vector equation of the plane passing through points A (l, 1, 2), B (0, 2, 3) and C (4, 5, 6).

For what value of k is the following function continuous at x = 2?
$\text{f(x)}=\begin{cases}2\text{x}+1,&\text{if }\text{ x}<2\\\text{k},&\text{x}=2\\3\text{x}-1,&\text{x}>2\end{cases}$

Find the inverse of $A=\left[\begin{array}{lll}1 & 3 & 3 \\ 1 & 4 & 3 \\ 1 & 3 & 4\end{array}\right]$ by elementary column transformation.

Find the perpendicular distence of the point (3, -1, 11) from the line $\frac{\text{x}}{2}=\frac{\text{y}-2}{-3}=\frac{\text{z}-3}{4}.$

Find a vector $\vec{\text{r}}$ of magnitude $3\sqrt{2}$ units which makes an angle of $\frac{\pi}{4}$ and $\frac{\pi}{2}$ with and z-axes respectively.

Let $A=\{1,2,3\}$, and let $R_3=\{(1,3),(3,3)\}$. Find whether or not the relations $R_3$ on $A$ is:
i. Reflexive.
ii. Symmetric.
iii. Transitive.

If $\text{f(x)}=\frac{2\text{x}+3\sin\text{x}}{3\text{x}+2\sin\text{x}},\text{ x}\neq0$ is continuous at x = 0, then find f(0).

Find the vector equation of the line passing through the point having position vector

$\hat{i}+2 \hat{j}+3 \hat{k}$ and perpendicular to vectors $\hat{i}+\hat{j}+\hat{k}$ and $2 \hat{i}-\hat{j}+\hat{k}$.

Solve the following equations by reduction method $: 2x + y = 5, 3x + 5y = -3$

Find the shortest distance between the lines $\bar{r}=(4 \hat{i}-\hat{j})+\lambda(\hat{i}+2 \hat{j}-\hat{k})$ and $\bar{r}=(\hat{i}-\hat{j}+2 \hat{k})+\mu(\hat{i}+4 \hat{j}-5 \hat{k})$ where $\lambda$ and $\mu$ are parameters.