Question

What is Tangential?

Answer 1

Tangential:

• A tangent is a straight line that touches a curve at a single point.

• The point where the curve and tangent meet is called the tangent point.
• For a point on a curve to have a tangent, it must be differentiable at that point.
• The slope of a curve is the slope of the tangent to the curve at a point.
• The slope of the tangent of a curve $y=f\left(x\right)$ is $\frac{dy}{dx}=f\text{'}\left(x\right)$.
• The equation of tangent of $y=f\left(x\right)$ at a point $\left(x_1,y_1\right)$ is $y-y_1={\left[\frac{dy}{dx}\right]}_{\left(x_1,y_1\right)}\left(x-x_1\right)$.
• There is only one tangent of a circle through a point of a circle.
• There is a pair of tangents of a circle that passes through a point.
• The angle between the tangent of a circle and the radius of the circle is $90°$.