Chain Rule
The chain rule is applied to composite functions making them easier to differentiate
Example
Replace the inside function with u and differentiate y in terms of u and u in terms of x
Product Rule
This is used when functions are multiplied together
Example
This result can be simplified
Quotient Rule
This is used when one function is divided by another
Example
You can use the product rule here if you find it easier but doing the rearranging can be easier with the quotient rule
Exponential and Natural Log Function
You need to be able to differentiate the exponential and natural log function
Natural Logarithmic function is loge more commonly written as ln
Trigonometric Differentiation
You need to know how to differentiate all the trig functions you know from C3
You should be able to get tanx, cosecx, secx and cotx from the differentials of cosx and sinx
Below is how to do it for tanx
Below is how to do it for tanx
Your Trigonometry and Trigonometric identities are incredibly important to learn for this section.