Differentiation of Inverse Trigonometric Functions
Function (y =) | Differentiation Formula (dy/dx =) |
---|---|
sin⁻¹ x | 1/√(1 – x²) |
cos⁻¹ x | -1/√(1 – x²) |
tan⁻¹ x | 1/(1 + x²) |
sec⁻¹ x | 1/(|x|·√(x² – 1)) |
cosec⁻¹ x | -1/(|x|·√(x² – 1)) |
cot⁻¹ x | -1/(1 + x²) |
Differentiation Formulas
Differentiation Formulas: Differentiation allows us to analyze how a function changes over its domain. We define the process of finding the derivatives as differentiation. The derivative of any function f(x) is represented as d/dx.f(x)
In this article, we will learn about various differentiation formulas for Trigonometric Functions, Inverse Trigonometric Functions, Logarithmic Functions, etc., and their examples in detail.
Table of Content
- What is Differentiation?
- Differentiation Formula
- Basic Differentiation Formulas
- Differentiation of Trigonometric Functions
- Differentiation of Inverse Trigonometric Functions
- Differentiation of Hyperbolic Functions
- Differentiation Rules
- Differentiation of Special Functions
- Implicit Differentiation
- Higher Order Differentiation
- Examples of Differentiation Formulas
- Practice Problems on Differentiation Formulas
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