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the velocity function

v= at + v(initial)

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Q: What is the derivative of the position function?
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What is the second derivative of a function's indefinite integral?

well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.


How is motion and position related?

Velocity is the derivative of position.Velocity is the derivative of position.Velocity is the derivative of position.Velocity is the derivative of position.


How do you get the second derivative of potential energy?

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.


What are derivatives for displaces?

Derivatives for displacement refer to the rate of change of an object's position with respect to time. It can be calculated by finding the first derivative of the position function. The first derivative of displacement gives the object's velocity, while the second derivative gives the acceleration.


Is it truethat a particle with a position that is given by and 119909 and 119862 and 1199052 (C is a properly dimensioned constant) has an acceleration given by 4C.?

No, the acceleration of a particle is determined by the second derivative of its position function with respect to time. If the position function is given by x(t) = 119909 + 119862t + 1199052t^2, then the acceleration a(t) would be the derivative of this function with respect to time twice, not just a constant 4C.


What is null derivative?

A null derivative occurs when an increasing function does not have a derivative. This is most commonly seen in the question mark function.


How do you find second derivative of a function?

All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2


What is the geometrical meaning for second derivative?

The Geometrical meaning of the second derivative is the curvature of the function. If the function has zero second derivative it is straight or flat.


What is the function if the first derivative of a function is a constant?

A linear function, for example y(x) = ax + b has the first derivative a.


What is an open position in a derivative product?

A speculator takes an open position in a derivative product (i.e., there is no offsetting cash flow exposure to offset losses on the position taken in the derivative product).


If second derivative is 0 and third derivative is 0 What is true about that point?

If the second derivative of a function is zero, then the function has a constant slope, and that function is linear. Therefore, any point that belongs to that function lies on a line.


What is a derivative graph?

A derivative graph tracks the slope of a function.