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.
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
y = 5x + 2
It rotated the line about the point of intersection with the y-axis.
Nothing particular. The graph of y = x2, for example, changes slope at each point on the graph.
The graph of the equationy = 2x + any numberis a straight line with a slope of 2.
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
A derivative graph tracks the slope of a function.
a thing on math
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
The slope of a tangent to the curve of a velocity-time graph represents the acceleration of an object at that specific instant in time. A steeper slope indicates a greater acceleration, while a flatter slope indicates a smaller acceleration.
That's not correct. If you have a graph of distance as a function of time, the speed is the slope of the graph.
No, acceleration is the rate of change of velocity with respect to time. It is the derivative of the velocity function, not the slope of the velocity vs. time graph. The slope of the velocity vs. time graph represents the rate of change of velocity, not acceleration.
A derivative of a function represents that equation's slope at any given point on its graph.
A derivative of a function represents that equation's slope at any given point on its graph.
The linear parent function is y=x. The line on a graph passes through the origin(0,0) with a slope of 1. The line will face left to right on the graph like this /.