Q: What is delta x?

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1/(2*(square root of x))

When finding the first derivative, you calculate the slope of the curve at a point by determining the ratio of delta y over delta x. You make delta x and delta y smaller and smaller; in fact, you take the limit of delta y over delta x as delta x goes to zero.At this zero limit point, delta y is called dy, and delta x is called dx. They are also called differentials, hence the term differential calculus. They represent the rate at which x and y change at various x's and y's.Since we are working with differentials, the process of determining the slope, also known as the first derivative, is call differentiation.

V(x)=Va[1- (n delta x/lambda) + n(n-1)/2! (Delta x/ lambda)^2 - (n(n-1)(n-2)/3!) (delta x/ lambda)^2 + ....)

The straight-line distance can be calculated with the Pythagorean theorem:distance = square root of (delta-x squared + delta-y squared + delta-z squared)Where delta-x is the difference in the x-coordinates, etc.On a flat surface, you only need two coordinates (x and y).

(delta)T=Kf (freezing point depression contstant_ x m (molality) x i

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1/(2*(square root of x))

A horizontal line, such as Y = 3, has a slope of zero.Slope is the limit, as delta x approaches zero, of delta y / delta x.

When finding the first derivative, you calculate the slope of the curve at a point by determining the ratio of delta y over delta x. You make delta x and delta y smaller and smaller; in fact, you take the limit of delta y over delta x as delta x goes to zero.At this zero limit point, delta y is called dy, and delta x is called dx. They are also called differentials, hence the term differential calculus. They represent the rate at which x and y change at various x's and y's.Since we are working with differentials, the process of determining the slope, also known as the first derivative, is call differentiation.

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V(x)=Va[1- (n delta x/lambda) + n(n-1)/2! (Delta x/ lambda)^2 - (n(n-1)(n-2)/3!) (delta x/ lambda)^2 + ....)

That pyramid symbol (or better defined as a triangle as to not get confused with lower mathematics / geometry) simply means a change in something. The actual term is "delta" and it is also known as the derivative of y as seen here: (delta) y / (delta) x. (delta) y / (delta) x would be read as the change in y with respect to x.

The delta x and delta y (dx and dy) are the changes in x and in y. When you take the derivative you are provided with a ratio (rise over run) of these changes. Take f(x)=3x^2 + 2x Derivative: (dy/dx)=6x + 2 From this, you can solve for dx and dy algebraically.

The straight-line distance can be calculated with the Pythagorean theorem:distance = square root of (delta-x squared + delta-y squared + delta-z squared)Where delta-x is the difference in the x-coordinates, etc.On a flat surface, you only need two coordinates (x and y).

For each delta > 0 there exists some epsilon > 0 such that: |x - y| < epsilon ensures that |f(x) - f(y)| < delta.

(delta)T=Kf (freezing point depression contstant_ x m (molality) x i

three channel feed that generates a sum channel pattern and two delta channels (Delta X and Delta Y)

Just evaluate the function where the value passed to the delta is 0. i.e. if your are trying to integrate x^2*delta(x-3)dx, that is just equal to the value of x^2=3^2=9 since x-3=0 at x=3. If the limits of integration do not include the value where delta is 0, then the integral is 0 since delta(x)=0 everywhere that x is not=0. Thinking of it from a graphical perspective, you are asking for the area under the curve of a function multiplied by the delta function, which just leaves the portion of the graph at where the spike from delta happens. Everywhere else, the graph is 0. So the only thing that contributes to the integral is the value of the function where delta(0) happens. Since the integral of the function at that point is constant and delta at that point is just 1, it's just the value of the function at that point. I do not believe there is a delta function in the TI-NSpire for you to do this directly. You need to recognized the meaning of the delta function.