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# What is the derivative of arcsec x?

## What is the derivative of arcsec x?

(Math | Calculus | Derivatives | Table Of)

arcsin x = 1 (1 – x2) arccsc x = -1 |x| (x2 – 1)
arccos x = -1 (1 – x2) arcsec x = 1 |x| (x2 – 1)
arctan x = 1 1 + x2 arccot x = -1 1 + x2

## What is derivative of arctan X?

The derivative of y=arctanx is y’=11+x2 . We can derive this by using implicit differentiation. Hence, y’=11+x2 .

What is Arcsecant equal to?

The inverse function of secant. Basic idea: To find sec-1 2, we ask “what angle has secant equal to 2?” The answer is 60°. As a result we say that sec-1 2 = 60°. In radians this is sec-1 2 = π/3.

What is the derivative of csc 2x?

Using the chain rule, the derivative of csc^2x is -2.csc^2(x).cot(x)

csc2x ► Derivative of csc2x = -2csc2(x)cot(x)
csc^2(x) ► Derivative of csc^2(x) = -2csc2(x)cot(x)
csc 2 x ► Derivative of csc 2 x = -2csc2(x)cot(x)
(cscx)^2 ► Derivative of (cscx)^2 = -2csc2(x)cot(x)
csc squared x ► Derivative of csc squared x = -2csc2(x)cot(x)

### What is Arcsin x equal to?

The arcsine of x is defined as the inverse sine function of x when -1≤x≤1. When the sine of y is equal to x: sin y = x. Then the arcsine of x is equal to the inverse sine function of x, which is equal to y: arcsin x = sin-1 x = y.

### What is arctan 1 in terms of pi?

π4
Only π4 falls into this interval. Thus, arctan1=π4 .

What is the derivative of arcsin?

You can use the derivative of arcsin x to plot the line tangent to arcsin x at any point. Let’s pick x = 1/2. At x = 1/2, y = arcsin (1/2) = . 5236.

How do you find the derivative of X?

Finding the derivative of x x depends on knowledge of the natural log function and implicit differentiation. Let y = x x. If you take the natural log of both sides you get. y = x x then. ln(y) = ln(x x) = x ln(x)

#### What are basic derivatives?

At its most basic, a financial derivative is a contract between two parties that specifies conditions under which payments are made between two parties. Derivatives are “derived” from underlying assets such as stocks, contracts, swaps, or even, as we now know, measurable events such as weather.

#### What are the derivatives of inverse functions?

Derivatives of Inverse Trigonometric Functions . The derivatives of the inverse trigonometric functions can be obtained using the inverse function theorem. For example, the sine function x = φ(y) = siny is the inverse function for y = f (x) = arcsinx. Then the derivative of y = arcsinx is given by.

What is the derivative of sec(x)?

The derivative of sec(x) In calculus, the derivative of sec(x) is sec(x)tan(x). This means that at any value of x, the rate of change or slope of sec(x) is sec(x)tan(x).