Symbols: df(x)/dx, f′(x), Df(x): the derivative of xn is nxn–1. b. the rate of change of one quantity with respect to another: velocity is the derivative of distance with respect to time. 8. (Banking & Finance) finance a. (usually plural) a financial instrument, such ...
b. the rate of change of one quantity with respect to another: velocity is the derivative of distance with respect to time. 8. (Banking & Finance) finance a. (usually plural) a financial instrument, such as a futures contract or option, the price of which is largely determined by the...
The derivative of velocity with respect to a coordinate Why ##\frac{\partial (0.5*m*\dot{x}^2-m*g*x)}{\partial x}=-mg##? why ##\frac{\partial \dot{x}}{\partial x}=0##? Why ##\frac{\partial (0.5*m*\dot{x}^2-m*g*x)}{\partial \dot{x}}=m*\dot{x}## ? why ...
What are derivatives used for? Derivatives are used to find the value of instantaneous rates of change of a given function. If you know a function for the distance a particle traveled, for instance, the derivative will tell you the velocity of that particle at a specific time.First...
Finding Derivatives of a Function | Overview & Calculations Maximum & Minimum of a Function | Solution & Examples Finding the Period of Sine Functions | Formula, Graphs & Examples Minimum Value of a Function | Definition, Methods & Examples Velocity vs. Time Graph | Slope, Acceleration & Displa...
Also derivative is very important in physics, also we can say the velocity is the derivative of the displacement, the accleration is the derivative of the velcity, the electric current is the derivative of the electric quantity, and so on. This time, we could use the derivative ...
AccelerationDerivativeGraphPositionVelocity Replies: 2 Forum:Introductory Physics Homework Help J ChemistryWhy is ethanol considered the parent chain in naming this benzene derivative? The name of this molecule is 1‐(3‐nitrophenyl)ethanol. I'm confused why ethanol is treated as the parent chain in...
of its applications are checking whether a function is increasing or decreasing, determining the tangent/normal equation, determining the maximum and minimum values from a graph, determining displacement-motion problems, determining velocity given displacement, and determining acceleration given a displacement...
Why would we need to take a derivative in the real world? Let’s say an object was traveling along a curve, and we wanted to know how fast it was traveling (velocity) at certain points along that curve. If we had a function for thepositionof the object at certain times, we could ...
To graph or sketch the derivative of a function, it is useful to understand where a function f(x) is positive and negative in relation to its slope. If the function, f(x) has a positive slope, then the derivate f'(x) is graphed above the x-axis. If the function, f(x) has a ...