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What is the slope of the curve x-cubed minus 2x plus 5 at a point x y on the curve?
Wiki User
∙ 15y ago
The derivative of x3-2x+5 is 3x2- 2. This is its slope at a point x,y.
Wiki User
∙ 15y ago
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How do you find the slope of a graph if it is a curve?
You find the slope of the tangent to the curve at the point of interest.
What is the slope of a curve line?
The slope of a curved line changes as you go along the curve and so you may have a different slope at each point. Any any particular point, the slope of the curve is the slope of the straight line which is tangent to the curve at that point. If you know differential calculus, the slope of a curved line at a point is the value of the first derivative of the equation of the curve at that point. (Actually, even if you don't know differential calculus, the slope is still the value of the function's first derivative at that point.)
The derivative finds the of a curve?
The gradient of the tangents to the curve.
What is a slope of a graph?
Did you mean the slope of a line/parabola/etc.? A slope, in its simplest terms, is how much a line angles away from the horizontal. It describes the steepness, sense, and incline of a line.Finding the slope of a line requires two distinct point ON a line. It's given by the equation: a = (y2 - y1) / (x2 - x1) where a is the slope, (x1,y1) are the coordinates of the first point, and (x2,y2) the coordinates of the second point. An equation for a straight line is usually represented as y = a*x + b; you could extract the slope by simply looking at the given values of a (the slope).Finding the slope of a curve (parabola, etc.) is taken at the tangent point. As you move along the curve, the slope changes (i.e the slope is NOT constant). The slope of a curve can be found by taking the derivative of the function that defines the curve. After derivation, you just plug in the values of x at where you want to find the slope at.
How do you find the tangent of the line at the curve at the point 11 using the equation 3x3 7x2y 7xy2 2y319?
I'm pretty sure that what you're looking for is: Either the slope or the full equationof the line that is tangent to the curve represented by that messy equation, atthe point (1, 1).If that's so, then . . .-- You'd have to start out by knowing where the plus, minus, and 'equals' signsare in the equation.From there, what I would do is:-- Take the implicit first derivative of the equation, and solve it for y' .That gives you the slope of the curve as a function of points (x, y).-- Use it to find the slope of the curve at the point (1, 1).-- You know that the slope of the line that's tangent at that point is thenegative reciprocal of the slope of the curve. Now you have the slope ofthe tangent line. If that's all you need, then you're done. Retreat and declarevictory.-- If you need the equation of the tangent line, that's no problem. You haveits slope AND a point on it ==> (1, 1). Using that info to find the equationof the line is supposed to be a piece o' cake for you by now.=============================Wait. Don't go away.It looks to me as if the equation is3x3 + 7x2y + 7xy2 + 2y3 = 19just because the point (1, 1) is on it.Do not trust anything I say past this point. I have already wasted too much time on this one and I am not going to check my work. But I did differentiate that mess, and I got the following:Slope of the equation at (1, 1) . . . -10/9Slope of the line tangent to the graph at (1, 1) . . . +0.9Equation of the line . . . Y = 0.9x + 0.1Take it for what it's worth, and Good Luck.
How the slope of a curved line at a point can be found?
The slope of a curved line at a point is the slope of the tangent to the curve at that point. If you know the equation of the curve and the curve is well behaved, you can find the derivative of the equation of the curve. The value of the derivative, at the point in question, is the slope of the curved line at that point.
As a curve approaches a maximum point the slope will do what?
The slope of the tangent line at the maximum point of the curve is zero. So we say that as a curve point approaches to the maximum point, the slope of the tangent line at that point approaches to zero.
How do you find the slope of a graph if it is a curve?
You find the slope of the tangent to the curve at the point of interest.
What is the slope of a curve line?
The slope of a curved line changes as you go along the curve and so you may have a different slope at each point. Any any particular point, the slope of the curve is the slope of the straight line which is tangent to the curve at that point. If you know differential calculus, the slope of a curved line at a point is the value of the first derivative of the equation of the curve at that point. (Actually, even if you don't know differential calculus, the slope is still the value of the function's first derivative at that point.)
What is the slope of a curve?
Slope of a Curve A number which is used to indicate the steepness of a curve at a particular point.The slope of a curve at a point is defined to be the slope of the tangent line. Thus the slope of a curve at a point is found using the derivative
How do you calculate slope of a curve?
If the curve is on the xy-plane, finding an expression for dy/dx will give you the slope of a curve at a point.
How do you find the slope of an Indifference curve?
You find the tangent to the curve at the point of interest and then find the slope of the tangent.
What does the slope of the curve on a distance v time graph represent?
The slope of the curve at each point on thegraph is the speed at that point in time. (Not velocity.)
How do you find the slope of the tangent line to each curve at the given point?
By differentiating the answer and plugging in the x value along the curve, you are finding the exact slope of the curve at that point. In effect, this would be the slope of the tangent line, as a tangent line only intersects another at one point. To find the equation of a tangent line to a curve, use the point slope form (y-y1)=m(x-x1), m being the slope. Use the differential to find the slope and use the point on the curve to plug in for (x1, y1).
What is negaitve slope?
You're familiar with the xy-plane. A line with negative slope is one that goes down toward the right. A curve has a negative slope at a point if the tangent line to the curve at that point has a negative slope.
What is a slope line?
is it a line that is slanted
What is difference between slope and the calculation of elasticity for a linear demand curve?
Along a linear demand curve elasticity varies from point to point of the demand curve with respect to different price, but slope is constant
