Differentiation of More Involved Trig Functions
 

Function	Differential d/dx
Sin nx	ncos nx
Cos nx	-nsin nx
Sinn x	nsinn-1 x cos x
Cosn x	-ncosn-1 x sin x

 
Differentiation of e^x and ln Functions
 

Function	Differential d/dx
ex	ex
ln x	1/x
ln(ax + b)	a/(ax + b)

We can now differentiate more complex functions using a combination of given derivatives (see tables), the chain, product and quotient rules.

Try to follow through the next set of examples and then try them yourself to check that you understand.

Worked Example 1

Worked Example 2

Worked Example 3

Worked Example 4

Worked Example 5