Differentiate both sides with respect to x

[Clari]

Find dy/dx.

x^5 log_{2}y-10 = 0
Differentiate both sides with respect to x.
5x^4 log_{2}y + x^5/ (y ln2) dy/dx = 0
dy/dx = -50y ln2 / x^6

Is it correct? please tell me..

 

[arildno]

Yes, it is correct.

 

[M98Ranger]

Yes, your differentiation is correct. The product rule was used to differentiate the first term, and the chain rule was used to differentiate the logarithmic term. The result is a derivative in terms of both x and y, which can be simplified further if needed. Great job!