This problem is making me dizzy. I would greatly appreciate a little help!

Express the derivative dy/dx in terms of x.

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


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.


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