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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.

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Q: What is the geometrical meaning for second derivative?
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What is the geometrical meaning of second derivative?

The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.


Geometrical meaning of derivative at a point?

point is also known as dot.


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 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.


What is the derivative of x to the second powerr?

2x is the first derivative of x2.


What is the derivative of x to the second power?

2x is the first derivative of x2.


Does The second derivative represent the rate of change of the first derivative?

Yes.


How do you find the second derivative?

Afetr you take the first derivative you take it again Example y = x^2 dy/dx = 2x ( first derivative) d2y/dx2 = 2 ( second derivative)


What is geometrical representation of partial derivatives?

The partial derivative of z=f(x,y) have a simple geometrical representation. Suppose the graph of z = f (x y) is the surface shown. Consider the partial derivative of f with respect to x at a point. Holding y constant and varying x, we trace out a curve that is the intersection of the surface with the vertical plane. The partial derivative measures the change in z per unit increase in x along this curve. Thus, it is just the slope of the curve at a value of x. The geometrical interpretation of is analogous in both types of derivatives, i.e., Ordinary and Partial Derivatives


What is the derivative value at an inflection point?

the second derivative at an inflectiion point is zero


If the 2nd derivative of an equation isn't constant is it still a quadratic relation?

No. A quadratic equation always has a second derivative that is a constant. For example -3x2 + 10x - 2 first derivative -6x + 10 second derivative -6


How do you get the second derivative of potential energy?

The same way you get the second derivative from any function. Assuming you have a function that expresses potential energy as a function of time, or perhaps as a function of position, you take the derivate of this function. This will give you another function. Then, you take the derivate of this derivative, to get the second derivative.