C4 – Exam Tip #1
As part of the C4 content, you must know how to differentiate where is a constant.
The trick to finding when is first taking the natural logarithm of both sides of this equation:
Then use the laws of logarithms to bring the outside:
We can then differentiate both sides of this equation (this means differentiating the left hand side implicitly):
Note that is a constant and so
Finally, multiply both sides of the equation by …
…and remember that …