Technically, yes. But, since it would be the line itself, there is no point in doing so.
When it is a linear equation.
It is a linear equation.
Because if you plot the point on a graph that the equation generates, it will produce a straight line(Linear). NB An eq'n of the form Ax^(2) + Bx + C = 0 is NOT linear, because in plotting the points on a graph it produces a curved bowl/umbrella.
From a given line at a specific point, there can be exactly one circle tangent to the line at that point. This circle will have its center located on the perpendicular line drawn from the point to the line. The radius of the circle will be the distance from the center to the point of tangency.
a linear equation.
The normal line at a point on a surface is drawn perpendicular to the tangent line at that point. To find it, you first determine the slope of the tangent line by calculating the derivative of the function at that point. The slope of the normal line is the negative reciprocal of the tangent line's slope. Finally, you use the point-slope form of a linear equation to draw the normal line using the calculated slope and the coordinates of the point.
Because if you plot the point on a graph that the equation generates, it will produce a straight line(Linear). NB An eq'n of the form Ax^(2) + Bx + C = 0 is NOT linear, because in plotting the points on a graph it produces a curved bowl/umbrella.
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.
Perpendicular
When it is a linear equation.
It is a linear equation.
The question is suppose to read: Find the equation of the line tangent to y=(x²+3x)²(2x-2)³, when x=8
Y = 5X - 3It form a linear function; a line.
Yes, the derivative of an equation is the slope of a line tangent to the graph.
From a given line at a specific point, there can be exactly one circle tangent to the line at that point. This circle will have its center located on the perpendicular line drawn from the point to the line. The radius of the circle will be the distance from the center to the point of tangency.
a linear equation.
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.