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Another function, which at every point has the value of the slope of the original function. For example, the parabola y = x2 has, at any point, the slope 2x, so 2x is the derivative of the original function.
The Wikipedia article - http://en.wikipedia.org/wiki/Derivative - gives a more detailed introduction, but if you want to really learn about derivatives, you should pick up textbook on introductory calculus.
What else can I help you with?
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 can I use the scipy differentiation function to calculate the derivative of a mathematical function?
To calculate the derivative of a mathematical function using the scipy differentiation function, you can use the scipy.misc.derivative function. This function takes the mathematical function, the point at which you want to calculate the derivative, and the order of the derivative as input parameters. It then returns the numerical value of the derivative at that point.
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 derivative of a function with respect to a vector?
The derivative of a function with respect to a vector is a matrix of partial derivatives.
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 a derivative graph?
A derivative graph tracks the slope of a function.
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.
How can you know that a value is the minimum of a function?
When the first derivative of the function is equal to zero and the second derivative is positive.
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 is the derivative with respect to vector of the given function?
The derivative with respect to a vector of a function is a vector of partial derivatives of the function with respect to each component of the vector.
