Use the implicit differentiation to find dy/dx ( WORK OUT)

x^2 cosy-y^2=e^2x

2. Originally Posted by Emmeyh15@hotmail.com
Use the implicit differentiation to find dy/dx ( WORK OUT)

x^2 cosy-y^2=e^2x
Hint:

-- Use product rule between the $\displaystyle x^2$ and $\displaystyle \cos(y)$ terms.

-- keep in mind that $\displaystyle \frac{\,d}{\,dx}\left[f\left(y\right)\right]=f^{\prime}\!\left(y\right)\cdot\frac{\,dy}{\,dx}$.

-- $\displaystyle \frac{\,d}{\,dx}e^{ax}=ae^{ax}$

After you differentiate both sides, gather the $\displaystyle \frac{\,dy}{\,dx}$ terms together. From there, it should be easy.

Can you try to do the problem now?

3. Sorry i am kinda slow when it come to this my teacher is not very great at explaining this!!!