Six Trig Functions

Base Case: Six Trig Functions

–          Keep in mind that as soon as whatever is inside the function, inside the parenthesis, is more than just your basic x , the problem’s primary rule becomes a chain rule. Whatever you replace that x with inside your base special case will become the inside piece of your chain rule.

–          You will need to know this table equally as well in both directions, left to right and right to left.

f ( x )

 

f ′ ( x )

f ( x ) = sin ( x )

 

f ′ ( x ) = cos ( x )

f ( x ) = cos ( x )

 

f ′ ( x ) = – sin ( x )

f ( x ) = tan ( x )

 

f ′ ( x ) = sec 2 ( x )

f ( x ) = sec ( x )

 

f ′ ( x ) = sec ( x ) tan ( x )

f ( x ) = csc ( x )

 

f ′ ( x ) = – csc ( x ) cot ( x )

f ( x ) = cot ( x )

 

f ′ ( x ) = – csc 2 ( x )