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I think it’s best I work through an example with you as these problems can vary quite a lot, but the general methods used are the same.
Example: Use the substitution u=x²+5 to find: The in...

Here you will deal with all problems of the same type in a very similar way.
Intuition first tells us that we can’t really find the limit, as both the top (4x²+5), and the bottom (x^2<...

Firstly, we need to consider what the term Homeostasis means:

Homeostasis is defined as the maintenance of a stable internal environment.

-The internal environment ...

y = 5x² - 4/x³

1/x can be written as x^-1, which means our equation can also be written as y = 5x² - 4x^-3.

dy/dx means ...

x^2 + y^2 = 9

x + y = 2 

1) Firstly look at the second equation which is the simplest and think how you can rearrange it to fit into the first equation: