Express the derivative dy/dx in terms of x.

y=u^2(u-u^4)^3 and u=1/x^2

Truly,
Jennifer

Hi Jennifer,

Since y is a function of u and u is a finction of x you can find dy/du and du/dx. To find dy/dx you need to string them together using the chain rule which states that

This gives you dy/dx in terms of x and u but you know that u=1/x² so substitute for u and then you have dy/dx in term of x alone.

cheers,
Harley