Differentiation of Inverse Trigonometric Functions

Inverse trigonometric functions also play important role in differentiation. In this article, you are going know the derivative of every inverse trigonometric function and can solve problems which are related to Inverse trigonometry by applying one of the listed fundamentals.

Consider x is an independent variable but denotes domain of the inverse trigonometric functions. By considering this variable, Inverse trigonometric functions Arc Sine, Arc Cosine, Arc Tangent, Arc Co-Tangent, Arc Secant and Arc Cosecant are written as Sin^-1 x, Cos^-1 x, Tan^-1 x, Cot^-1 x, Sec^-1 x and Cosec^-1 x respectively. Similarly, differentiate or derivate element in differentiation can be written as d/dx.

Inverse Trigonometric Functions

1.

d.Sin-1x dx

=

1 √(1-x2)

Formula - (15)

2.

d.Cos-1x dx

=

- 1 √(1-x2)

Formula - (16)

3.

d.Tan-1x dx

=

1 1+x2

Formula - (17)

4.

d.Cot-1x dx

=

- 1 1+x2

Formula - (18)

5.

d.Sec-1x dx

=

1 |x|√(x2-1)

Formula - (19)

6.

d.Cosec-1x dx

=

-1 |x|√(x2-1)

Formula - (20)

 

Recommended Posts

1. Definition of Arc Sine
2. Definition of Arc Cosine
3. Definition of Arc Tangent
4. Definition of Arc Co Tangent
5. Definition of Arc Secant
6. Definition of Arc Cosecant