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What does the slope tell you about a function?
If you want to find the initial value of an exponential, which point would you find on the graph?
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 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 tangent?
Take the derivative of the function.
Does it matter which points you use to find the slope?
No. If you have more than two points for a linear function any two points can be used to find the slope.
Find the slope of a tangent line to the graph?
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
How can you use the initial value theorem to solve for the initial slope of a function?
I suggest: - Take the derivative of the function - Find its initial value, which could be done with the initial value theorem That value is the slope of the original function.
How do you differentiate and find the tangent?
When you differentiate a function, you find the slope of the function. The slope is also known as the tangent. The slope of a line, given one point, and a second point relative to the first point, but with x different, is given as delta y over delta x. Differentiation is simply taking the limit of the slope, i.e. where delta x approaches zero.
How do you solve to find slope?
The answer depends on the nature of the function that defines the curve whose slope you want. If the function f(x) is differentiable, its slope is f'(x) = df(x)/dx and the value of the slope at a point when x = x0 is f'(x0), obtained by substituting x0 for x in f'(x).
How to find the slope to an equation?
If it is the equation for a line, then it can be rearranged into the format y = mx + b, where m is the slope of the line, and b is the point where the line intercepts the y-axis.If it is not for a straight line, then the slope is changing with x, and the derivative of the function would find the slope at a particular x.
How do you find the slope and y intercept of a linear function by algebra?
looking they can't of got far
How do you find the rule for a linear function?
y=ax+b a=slope b=y intercept
How do you Find derivative to get the slope?
the deivative of a function is the gradient, at a point if you can sub in the x coordinate for that point
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.
What does the slope tell you about a function?
If you want to find the initial value of an exponential, which point would you find on the graph?
