Whats a tangent to x?
Tangent to the x-axis means: Touching the x-axis, so the distance from the center is the radius. Having the distance from it center is equal to the height (y).
What happens when x-axis is tangent to curve?
Hence the curve touches or intersects with x-axis at . Next, for x-axis to be a tangent line of the given curve the slope of both the x-axis and the curve should be equal at . Since the slope of x-axis is zero everywhere. So the slope of at should also be .
What does it mean for a graph to be tangent?
tangent, in geometry, the tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point. It may be considered the limiting position of straight lines passing through the given point and a nearby point of the curve as the second point approaches the first.
Where is Y axis and x-axis?
A coordinate grid has two perpendicular lines, or axes (pronounced AX-eez), labeled just like number lines. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin.
How do you find the tangent of a circle?
The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c .
What happens when tangent is perpendicular to x-axis?
Given that a tangent line drawn to a curve at a point is perpendicular to the x-axis. When a line is perpendicular to x-axis, it will be parallel to the y-axis.
What does it mean when the tangent is parallel to the x-axis?
A line parallel to the x-axis will have slope m=0. So you need to take the first derivative, and set it equal to zero to solve for the x values at which the slope of the tangent to your curve is zero.
How does the tangent line work?
A tangent line is a straight line that touches a function at only one point. (See above.) The tangent line represents the instantaneous rate of change of the function at that one point. The slope of the tangent line at a point on the function is equal to the derivative of the function at the same point (See below.)