Chapter 4 - Trigonometric and Inverse Trigonometric Functions

Differentiation of Trigonometric Functions
Trigonometric identities and formulas are basic requirements for this section. If u is a function of x, then

1. ddx(sinu)=cosududx

2. ddx(cosu)=sinududx

3. ddx(tanu)=sec2ududx

4. ddx(cotu)=csc2ududx

5. ddx(secu)=secutanududx

6. ddx(cscu)=cscucotududx
 

Differentiation of Inverse Trigonometric Functions
In the formula below, u is any function of x.

1. ddxarcsinu=dudx1u2

2. ddxarccosu=dudx1u2

3. ddxarctanu=dudx1+u2

4. ddxarccotu=dudx1+u2

5. ddxarcsecu=dudxuu21

6. ddxarccscu=dudxuu21