What is derivative of cosec inverse of X?
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What is derivative of cosec inverse of X?
What is Derivative of Cosec x? The differentiation of cosec x with respect to angle x is written as d(cosec x)/dx = (cosec x)’ = -cot x cosec x. Derivative of cosec x can be calculated using the derivative of sin x.
What is cosec 1 x?
cosec-1x is bounded in −π/2,π/2. cosec-1x is a decreasing function. In its domain, cosec-1x attains its maximum value π/2 at x = 1 while its minimum value is -π/2 which occurs at x = -1.
What is the value of cosec inverse X?
We know that the range of the principal value branch of cosec-1(x) is [-π/2, π/2] – {0} and cosec(π/2) = 1. So, the principal value of cosec-1(1) = π/2.
What is the domain of the function Cosec inverse?
Domain and Range of Trigonometry Functions
| Domain | Range | |
|---|---|---|
| cos -1 | [–1, 1] | [0,π] |
| tan -1 | R | (-π/2,π/2) |
| cosec -1 | R – (–1, 1) | [-π/2,π/2] – {0} |
| sec -1 | R – (–1, 1) | [0,π]-{π/2} |
What is the domain of the function cosec 1?
What is the inverse of cosec?
Given a triangle rectangle, we define the cosecant, the secant and the cotangent of an angle as the inverse ratios of the sine, the cosine and the tangent, respectively.
What is the second derivitive of sec x?
1 Answer. For the second derivative of sec(x), let’s derive one more time the first derivative: again, by the rule for the derivation of rational functions, we have d dx − sin(x) cos2(x) = sin'(x)cos2(x)−sin(x)(cos2(x))’ cos4(x) Since sin'(x) = cos(x) and (cos2(x))’ = −2cos(x)sin(x), we have.
How do you calculate derivative?
The first step to finding the derivative is to take any exponent in the function and bring it down, multiplying it times the coefficient. We bring the 2 down from the top and multiply it by the 2 in front of the x. Then, we reduce the exponent by 1. The final derivative of that term is 2*(2)x1, or 4x.
What is the derivative of CSC^2(x)?
The derivative of `csc x` is `-csc x cot x` , The derivative of `sec x` is `sec x tan x` and. The derivative of `cot x` is `-csc^2 x`.
What is the anti derivative of cos x?
This process is also known as anti-differentiation. This term is related to the definite integrals by using the Functions of Calculus . So Antiderivative of cos (x) is basically in form of sin (x) because derivative of sin (x) is cos (x) and as we know the antiderivative is the reverse process of differentiation.