Q: What is the anti-derivative of a tangent function?

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The inverse tangent, also called the arc-tangent.

The tan [tangent] function.When a function has two or more brakes, this is not a continuous function, but it can be a continuous function in some intervals such as the tangent does.

It is the cotangent function.

Take the derivative of the function.

There are two main definitions. One defines the integral of a function as an "antiderivative", that is, the opposite of the derivative of a function. The other definition refers to an integral of a function as being the area under the curve for that function.

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The antiderivative of a function which is equal to 0 everywhere is a function equal to 0 everywhere.

Yes, the tangent function is periodic.

For example, the derivate of x2 is 2x; then, an antiderivative of 2x is x2. That is to say, you need to find a function whose derivative is the given function. The antiderivative is also known as the indifinite integral. If you can find an antiderivative for a function, it is fairly easy to find the area under the curve of the original function - i.e., the definite integral.

It is an inverse function of a derivative, also known as an integral.

An antiderivative, F, is normally defined as the indefinite integral of a function f. F is differentiable and its derivative is f.If you do not assume that f is continuous or even integrable, then your definition of antiderivative is required.

No.

The inverse tangent, also called the arc-tangent.

When you graph a tangent function, the asymptotes represent x values 90 and 270.

It is probably arctan or arc tangent, the inverse of the tangent function.

The tan [tangent] function.When a function has two or more brakes, this is not a continuous function, but it can be a continuous function in some intervals such as the tangent does.

It is the cotangent function.

yes, look at the function f(x)=3x^2 The antiderivative is x^3+C where C is the constant and is more than one value for C. In fact, 3x^2 will have an infinite number of antiderivatives.