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Derivative as the Slope of a Tangent?
Yes, the derivative of an equation is the slope of a line tangent to the graph.
What is a derivative graph?
A derivative graph tracks the slope of a function.
What does the derivative graph mean?
I am assuming the you are talking about the graph of the derivative. The graph of the derivative of F(x) is the graph such that, for any x, the value of x on the graph of the derivative of F(x) is the slope at point x in F(x).
How do you graph the slope of a function?
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.
Does the graph of an inverse variation pass through the origin?
Inverse variation does not pass through the origin, however direct variation always passes through the origin.
What is a proportional graph line?
It is a straight line through the origin.
What relationship exist between two variables when their ratio is constant?
Direct proportionality. Their graph would be a straight line through the origin, with the slope equal to the ratio.
Y axis on a graph?
The vertical line passing through the origin
The graph of a linear relationship will always pass through the origin?
Not always
What is a x axis of a graph?
The horizontal line passing through the origin.
Where the x-axis and y-axis cross through a graph?
The origin
Is the first derivative of a function is a constant then its graph is?
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
