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More Lessons for Calculus

Math Worksheets

In this lesson, we will look at how to find the derivatives of inverse trigonometric functions.

### Table of Derivatives of Inverse Trigonometric Functions

The following table gives the formula for the derivatives of the inverse trigonometric functions. Scroll down the page for more examples and solutions on how to use the formulas.

**Inverse Trigonometric Functions - Derivatives**

**Formulas for the derivatives of the six inverse trig functions and derivative examples**

Examples:

Find the derivatives of the following functions

1. f(x) = (sin^{-1})^{2}

2. g(t) = cos^{-1}√(2t - 1)

3. y = tan^{-1}(x/a) + ln√((x-a)/(x+a))

** Inverse Trigonometric Functions - Derivatives - Harder Example**

Example:

Find the derivatives of

y = sec^{-1}√(1 + x^{2})

**Inverse Trigonometric Functions - Derivatives - Harder Example **

Example:

Find the derivatives of

y = sin^{-1}(cos x/(1+sinx))

**Derivatives of Inverse Trig Functions**

One example does not require the chain rule and one example requires the chain rule.

Examples:

Find the derivatives of each given function.

1. f(x) = 3sin^{-1}(x)

2. g(x) = 4cos^{-1}(3x^{2})

**Derivatives of Inverse Trig Functions**

Examples:

Find the derivatives of each given function.

1. f(x) = -2cot^{-1}(x)

2. g(x) = 5tan^{-1}(2^{x})

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Calculus

Math Worksheets

In this lesson, we will look at how to find the derivatives of inverse trigonometric functions.

** Example: **

Differentiate

** Solution: **

We can use the above formula and the chain rule.

** Example: **

Differentiate

** Solution: **

We use the product rule and chain rule.

Examples:

Find the derivatives of the following functions

1. f(x) = (sin

2. g(t) = cos

3. y = tan

Example:

Find the derivatives of

y = sec

Example:

Find the derivatives of

y = sin

One example does not require the chain rule and one example requires the chain rule.

Examples:

Find the derivatives of each given function.

1. f(x) = 3sin

2. g(x) = 4cos

Examples:

Find the derivatives of each given function.

1. f(x) = -2cot

2. g(x) = 5tan

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