
Secant, Tangent, and Derivatives
File:Tangent derivative calculusdia.svg

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File:Tangent derivative

Derivative as tangent.jpg. Example. Find the equation of the tangent line to

is the value of the derivative and the slope of the tangent (in green).

A tangent line is

The Derivative, Unit Tangent Vector, and Arc Length

The unit tangent vector, denoted T(t), is the derivative vector divided by
derivative formula for the inverse tangent function : integration formula

of the tangent line to the function at a point. derivative of a curve

its partial derivatives are computed and interpreted as tangent

between the derivative and the tangent line to y = f(x), and graphing the
3) Derivative of Tangent Inverse:

Take a look at this curve below, you'll find that the slope of the tangent

partial derivatives, horizontal tangent lines and solving nonlinear
3) Derivative of Tangent Inverse:
Thus derivative of tan inverse x is 1/( 1 + x 2 ).

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Derivative curve tangent graph animation gif