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The musical West Side Story, is a derivative work based on Shakespeare's Romeo and Juliet, because it uses numerous expressive elements from the earlier work. [42] However, Shakespeare's drama Romeo and Juliet is also a derivative work that draws heavily from Pyramus and Thisbe and other sources. Nevertheless, no legal rule prevents a ...
In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.
Snap, [6] or jounce, [2] is the fourth derivative of the position vector with respect to time, or the rate of change of the jerk with respect to time. [4] Equivalently, it is the second derivative of acceleration or the third derivative of velocity, and is defined by any of the following equivalent expressions: = ȷ = = =.
The derivative of the momentum of a body with respect to time equals the force applied to the body; rearranging this derivative statement leads to the famous F = ma equation associated with Newton's second law of motion. The reaction rate of a chemical reaction is a derivative.
If the derivative f vanishes at p, then f − f(p) belongs to the square I p 2 of this ideal. Hence the derivative of f at p may be captured by the equivalence class [f − f(p)] in the quotient space I p /I p 2, and the 1-jet of f (which encodes its value and its first derivative) is the equivalence class of f in the space of all functions ...
Here’s what derivatives are, how they work and their pros and cons. What is a derivative? The word derivative sounds fancy and perhaps a little intimidating. But the key thing to know about ...
The U.S. Preventive Services Task Force released a draft recommendation advising against using vitamin D to prevent falls and fractures in people over 60. Pharmacist Katy Dubinsky weighs in.
The time derivative of the integral for work yields the instantaneous power, = = . Path independence ... It is known as the work–energy principle: = ...