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When you differentiate a function, you find the slope of the function. The slope is also known as the tangent.

The slope of a line, given one point, and a second point relative to the first point, but with x different, is given as delta y over delta x.

Differentiation is simply taking the limit of the slope, i.e. where delta x approaches zero.

Q: How do you differentiate and find the tangent?

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a tangent is a line that touches the circle at only ONE point

budosnp

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You cannot.

Differentiate term by term. d/dx[X2 + 2X) = 2X + 2 slope(m) = 2 ------------------

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Differentiation, is often used to find the tangent of a curved graph. Each time you differentiate a function, you decrease the number of turning points in the graph, to a minimum of no turning points i.e. y = 3x. Differentiating to different orders is also used to find tangents, of tangents.

You find the tangent to the curve at the point of interest and then find the slope of the tangent.

A tangent refers to the way in which a curve is measured. The amount of deviation from the segment line is measures, then a formula applied to find the tangent.

You can calculate the tangent for a give time, T, as follows: Substitute the value of the time in the distance-time equation to find the distance at the given time. Suppose it is f(T). Differentiate the distance-time equation with respect to time. For any given time, substitute its value in the derivative and evaluate. That is the gradient of the tangent, v. Then equation of the tangent is f(T) - f(t) = v*(T - t)

a tangent is a line that touches the circle at only ONE point

budosnp

You need more than one tangent to find the equation of a parabola.

go on a better website maybe like mathsinfun.com and it will give you exercises and you will be fully trained and you will not have to ask

In order to find the equation of a tangent line you must take the derivative of the original equation and then find the points that it passes through.

Sine = -0.5 Cosine = -0.866 Tangent = 0.577

1/(tangent of angle)

Take the inverse tangent -- tan-1(opposite side/adjacent side)