What is the derivative of tan 6x?

The derivative of tan 2x is 2 sec2 (2x).

What is the derivative of tan 6x?

To apply the Chain Rule, set u u as 6x 6 x . The derivative of tan(u) tan ( u ) with respect to u u is sec2(u) sec 2 ( u ) .

What is the derivative of sec2x?

Short Answer

Use the derivatives of trig functions and the chain rule: ddx(sec(2x))=sec(2x)tan(2x)⋅2=2sec(2x)tan(2x) .

What is derivative of Arcsin?

What is Derivative of arcsin? The derivative of arcsin x is 1/√1-x². It is written as d/dx(arcsin x) = 1/√1-x².

What is the integral of arcsin?

The formula for the integral of arcsin is given by, ∫sin-1x dx = x sin-1x + √(1 – x2) + C, where C is the constant of integration.

How can I reverse my sins?

Inverse Sine
The inverse sine function (also called arcsine) is the inverse of sine function. sin θ = (Opposite side to θ/Hypotenuse)Or θ = Sin-1 (Opposite side to θ/Hypotenuse)In the same way, Inverse Cosine and Inverse Tan can be determined.

How do you find the derivative of arcsin 2x?

Explanation: Use chain rule to find the derivative. The derivative of arcsin x is 1/square root of 1-x^2 and then multiply by the derivative of 2x.

Is arcsin the same as CSC?

Arcsin is the inverse trigonometric function of sine while cosecant is the reciprocal of sine. Since sine is opposite over hypotenuse, cosecant can be expressed as hypotenuse over opposite or 1/sine.

What is the graph of arcsin?

The domain of y = arcsin(x) is the range of f(x) = sin(x) for -π/2 ≤ x ≤ π/2 and is given by the interval [-1 , 1]. The range of arcsin(x) is the domain of f which is given by the interval [-π/2 , π/2]. The graph, domain and range of both f(x) = sin(x) for -π/2 ≤ x ≤ π/2 and arcsin(x) are shown below.