Inverse Trigonometric Derivatives

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Lessons On Trigonometry
Inverse trigonometry
Trigonometric Derivatives
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Calculus Lessons

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.

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Example:
Differentiate

Solution:
We can use the above formula and the chain rule.

Example:
Differentiate

Solution:
We use the product rule and chain rule.

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))

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Inverse Trigonometric Functions - Derivatives - Harder Example

Example:
Find the derivatives of
y = sec^-1√(1 + x²)

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Inverse Trigonometric Functions - Derivatives - Harder Example

Example:
Find the derivatives of
y = sin^-1(cos x/(1+sinx))

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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(3x²)

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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)

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