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What are the uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
How do you find the slope of a function?
Need two points. m = slope. (X1, Y1) and (X2, Y2) m = Y2 - Y1/X2 - X1 ==============Or, if function is in this form...... Y =mX + b ======== Read off of function, or get function is this form.
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.
What is a derivative graph?
A derivative graph tracks the slope of a function.
What is a derivative in calculus?
When you take the derivative of a function, you are seeking a variation of that function that provides you with the slope of the tangent (instantaneous slope) at any value of (x). For example, the derivative of the function f(x)=x^2 is f'(x)=2x. Notice that the derivative is denoted by the apostrophe inside the f and (x). Also note that at x=0, f'(x)=0, which means that at x=0 the slope of the tangent is zero, which is correct for the function y=x^2.
What are uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
What are the uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
What is the gradient of y 3x 5?
The gradient of the function y = 3x + 5 is simply the coefficient of x, which is 3. In this context, the gradient represents the slope of the line that the function represents. This means that for every unit increase in x, y will increase by 3 units.
What does the derivative of a function mean?
The derivative of a function is another function that represents the slope of the first function, slope being the limit of delta y over delta x at any two points x1,y1 and x2,y2 on the graph of the function as delta x approaches zero.
Write a function represents the line that contains the point 2 and 12 and has a slope of-3?
As a straight line equation: y = -3x+18 in slope intercept form
What is the slope of the line represented by each function what is the y-intercept for each function?
In the slope-intercept form you use the slope of the line and the y-intercept to the origin has a y-intersect of zero, b = 0, and represents a direct variation. All functions that can be written on the form f(x) = mx + b belong to the family of linear function.
What does the m in slope stand for?
Nothing it just represents slope.
What does the slope of a veloctiy time graphy represent?
The slope of a velocity-time graph represents the acceleration of an object. A steeper slope indicates a larger acceleration, while a more horizontal slope represents a constant velocity. If the slope is negative, it indicates deceleration.
What is the slope of a speed time linear graph?
The slope of a speed-time linear graph represents acceleration. If the line is flat (zero slope), the object is moving at a constant speed. A positive slope indicates acceleration, while a negative slope represents deceleration.
What is the slope of a function?
The slope of a function is the y-intercept or the change in y, over the change in x.
Is acceleration the slope of velocity vs time 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.
What is the equation of a line in slope-intercept form?
The equation of a line in slope-intercept form is given by y = mx + b, where "m" represents the slope of the line and "b" represents the y-intercept.
