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sobel is the first derivative method that is used to detect edges,, while laplace method is the 2nd derivative method that is used to detect the change of slope.
Yes, the derivative of an equation is the slope of a line tangent to the graph.
A derivative graph tracks the slope of a function.
The derivative if a function is basically it's slope, or its rate of change. An example is the function y = 4x - 6. This is a line with a slope of 4. The derivative is y' = 4. Another example is the function y = 3x2. This is a parabola with a vertex at (0,0). Its derivative is y' = 6x. At x = 0, the slope of the parabola is 6*0, which is 0, since this is the vertex of the parabola. To the left, at x is -4 for example, the derivative (and therefore slope) is negative. To the right, at x = 5 for example, the derivative is positive. The farther away from the vertex, the greater the value of the derivative so the the slope of the function increases as you move away from the vertex (it gets steeper).
For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.
The gradient of the tangents to the curve.
They are the same thing.
a definition is what it means, a derivative is what it derives from, like a root word
The derivative of a curve is basically the slope of the curve. If we say, for example, that if y = 2x, the derivative is 2, that means that at any point the line has this slope. If we say that for the function y = x2, the derivative is 2x, that means that at any point "x", the slope is twice the value of "x".
there is no diffference, i think...
Why: Because that's what the derivative means, the way it is defined - the slope of the curve at any point of the line.
No slope is undefined i.e. a vertical line slope of 0 is a horizontal line... i believe...