y = ab^2+bx+c at point (1,2)
y' = x
since y' is also known as the slope, write the equation of point (1,2) at slope = X
y- 2 = x (x-1)
y= x^2-x+2
a=1
b=-1
c=2
A line tangent to a curve, at a point, is the closest linear approximation to how the curve is "behaving" near that point. The tangent line is used to estimate values of the curve, near that point.
The slope of any line is rise/run, or change in y divided by change in x. On a distance-time curve, time is the variable on the x axis, and distance is the variable on the y axis. This means that when a tangent is drawn at any point on the curve, its slope becomes change in distance divided by change in time, for example, m/s, km/h, etc. These units align with the units for velocity, and therefore the slope of the tangent line on a distance-time curve is the velocity.
curve is an action verb
The word curve can be used as either a verb or a noun. As a verb: when you throw a ball, its path will curve downward, because of gravity. As a noun: the equation can be drawn on the graph as a smooth curve.
The curve of your thumb is the part where it looks rounded, at the base of your thumb.
Tangent:In geometry, the tangent line (or simply the tangent) is a curve at a given point and is the straight line that "just touches" the curve at that point. As it passes through the point where the tangent line and the curve meet the tangent line is "going in the same direction" as the curve, and in this sense it is the best straight-line approximation to the curve at that point.Chord:A chord of a curve is a geometric line segment whose endpoints both lie on the outside of the circle.
A tangent is an object, like a line, which touches a curve. The tangent only touches the curve at one point. That point is called the point of tangency. The tangent does not intersect (pass through) the curve.
You find the tangent to the curve at the point of interest and then find the slope of the tangent.
A tangent is a line which touches, but does not cross, a curved line.
A line tangent to a curve, at a point, is the closest linear approximation to how the curve is "behaving" near that point. The tangent line is used to estimate values of the curve, near that point.
Tangent to the curve.
3 f'(1) is the slope of the tangent line of the curve at x=1. Because the tangent line at x=1 goes through (1,7) and (-2,-2), its slope is (7-(-2))/(1-(-2))=9/3=3. So f'(1)=3.
A tangent line touches a curve or the circumference of a circle at just one point.
A tangent is a line that just touches a curve at a single point and its gradient equals the rate of change of the curve at that point.
Tangent is used in calculus to compute the slope of a curve. Because curves do not have uniform slopes, unlike lines, their slopes change. A tangent is the slope of a curve at a specific point.
The tangent to the curve y = 2x2 - 3x + 2 at x=3 first we differentiate the eqution and get dy/dx = 4x -3 feed in the x=3 dy/dx = 9 So we now know that the gradient of the tangent is 9 We can also find out one of the points that is passes through. y = 2x2 - 3x + 2 when x = 3 y = 2*32 - 3*3 + 2 y = 29 So we have a line of gradient 9 that passes through the pint (3,29) We can now find out the y intercept 29 - (3*9) = 2 y = 3x + 2
Yes a tangent is a straight line thattouches a curve at only one point But there is a tangent ratio used in trigonometry