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.
A null derivative occurs when an increasing function does not have a derivative. This is most commonly seen in the question mark function.
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.
A linear function, for example y(x) = ax + b has the first derivative a.
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.
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.
A null derivative occurs when an increasing function does not have a derivative. This is most commonly seen in the question mark 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
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.
A linear function, for example y(x) = ax + b has the first derivative a.
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.
A derivative graph tracks the slope of a function.
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.
When the first derivative of the function is equal to zero and the second derivative is positive.
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There should not be any y in the derivative itself since y or y(x) is the function whose derivative you are finding.
If the first derivative of a function is greater than 0 on an interval, then the function is increasing on that interval. If the first derivative of a function is less than 0 on an interval, then the function is decreasing on that interval. If the second derivative of a function is greater than 0 on an interval, then the function is concave up on that interval. If the second derivative of a function is less than 0 on an interval, then the function is concave down on that interval.