Acceleration
Another name ? You haven't given us one yet. The third derivative of displacement with respect to time is "jerk".
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.
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
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.
Yes.
First derivative of displacement with respect to time = velocity. Second derivative of displacement with respect to time = acceleration. Third derivative of displacement with respect to time = jerk.
acceleration/decceleration it is the second derivative of a displacement vs time function
Another name ? You haven't given us one yet. The third derivative of displacement with respect to time is "jerk".
The speed of an object is its rate of displacement. Specifically, it is the rate of displacement over time or the first derivative of displacement with respect to time.
The time derivative of displacement, dD/dt.
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.
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 first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
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.
Time derivative of displacement which is... speed!
2x is the first derivative of x2.
2x is the first derivative of x2.