Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

Find $\large \frac{dy}{dx}$ when x and y are connected by the relation $\tan^{-1}(x^2+y^2)=a $

$\begin{array}{1 1}(A)\;\large\frac{y}{x}\\(B)\;\large\frac{-y}{x}\\(C)\;\large\frac{x}{y}\\(D)\;\large\frac{-x}{y}\end{array}$

Can you answer this question?

1 Answer

0 votes
  • A function $f(x,y)$ is said to be implicit if it is jumbled in such a way,that it is not possible to write $y$ exclusively as a function of $x$.
  • $\large\frac{d}{dx}$$\phi(y)=\large\frac{d}{dy}$$\phi(y).\large\frac{dy}{dx}$
Differentiating w.r.t $x$ we get
$\Rightarrow 2x+2y\large\frac{dy}{dx}$$=0$


answered Jul 2, 2013 by sreemathi.v
edited Mar 23, 2014 by meenakshi.p
Easier if you write [(x square + y square) = tan a], and the differentiate it wrt x. The right hand side, being constant, becomes zero.

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App