Q: How do you calculate uncertainty for a derivative?

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There are several ways to calculate uncertainty. You can round a decimal place to the same place as an uncertainty, put the uncertainty in proper form, or calculate uncertainty from a measurement.

You multiply the percentage uncertainty by the true value.

If the distance is known to perfection, an acceleration is constant, then the absolute error in the calculation of acceleration is 2/t3, where t is the measured time.

There are several uses. For example: * When analyzing curves, the second derivative will tell you whether the curve is convex upwards, or convex downwards. * The Taylor series, or MacLaurin series, lets you calculate the value of a function at any point... or at least, at any point within a given interval. This method uses ALL derivatives of a function, i.e., in principle you must be able to calculate the first derivative, the second derivative, the third derivative, etc.

WE know that ~x*~p>=h/4*3.14 and ~p= m~v so substitute value of ~p in above equqtion

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There are several ways to calculate uncertainty. You can round a decimal place to the same place as an uncertainty, put the uncertainty in proper form, or calculate uncertainty from a measurement.

Managers must plan for uncertainty if they want to meet their strategic goals. They must calculate whether the uncertainty will delay things within their industry.

You use statistical techniques, and the Central Limit Theorem.

To get the second derivative of potential energy, you first need to calculate the first derivative of potential energy with respect to the variable of interest. Then, you calculate the derivative of this expression. This second derivative gives you the rate of change of the slope of the potential energy curve, providing insight into the curvature of the potential energy surface.

You multiply the percentage uncertainty by the true value.

If the distance is known to perfection, an acceleration is constant, then the absolute error in the calculation of acceleration is 2/t3, where t is the measured time.

There are several uses. For example: * When analyzing curves, the second derivative will tell you whether the curve is convex upwards, or convex downwards. * The Taylor series, or MacLaurin series, lets you calculate the value of a function at any point... or at least, at any point within a given interval. This method uses ALL derivatives of a function, i.e., in principle you must be able to calculate the first derivative, the second derivative, the third derivative, etc.

Calculate the derivative of the function.Use the derivative to calculate the slope at the specified point.Calculate the y-coordinate for the point.Use the formula for a line that has a specified slope and passes through a specified point.

WE know that ~x*~p>=h/4*3.14 and ~p= m~v so substitute value of ~p in above equqtion

It is a measure of the rate of change of one variable - relative to another. The measure is an instantaneous measure rather than one averaged over a longer domain. Such changes are fundamental to many real-life events.

Basically the same way you graph most functions. You can calculate pairs of value - you express the polynomial as y = p(x), that is, the y-values are calculated on the basis of the x-values, you assign different values for "x", and calculate the corresponding values for "y". Then graph them. You can get more information about a polynomial if you know calculus. Calculus books sometimes have a chapter on graphing equations. For example: if you calculate the derivative of a polynomial and then calculate when this derivate is equal to zero, you will find the points at which the polynomial may have maximum or minimum values, and if you calculate the derivative at any point, you'll see whether the polynomial increases or decreases at that point (from left to right), depending on whether the derivative is positive or negative. Also, if you calculate when the second derivative is equal to zero, you'll find points at which the polynomial may change from convex to concave or vice-versa.

Basically the same way you graph most functions. You can calculate pairs of value - you express the polynomial as y = p(x), that is, the y-values are calculated on the basis of the x-values, you assign different values for "x", and calculate the corresponding values for "y". Then graph them. You can get more information about a polynomial if you know calculus. Calculus books sometimes have a chapter on graphing equations. For example: if you calculate the derivative of a polynomial and then calculate when this derivate is equal to zero, you will find the points at which the polynomial may have maximum or minimum values, and if you calculate the derivative at any point, you'll see whether the polynomial increases or decreases at that point (from left to right), depending on whether the derivative is positive or negative. Also, if you calculate when the second derivative is equal to zero, you'll find points at which the polynomial may change from convex to concave or vice-versa.