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What is the calculus operation for finding the rate of change in an equation?
The calculus operation for finding the rate of change in an equation is differentiation. By taking the derivative of the equation, you can find the rate at which one variable changes with respect to another.
What is the difference between partial derivative and derivative?
Say you have a function of a single variable, f(x). Then there is no ambiguity about what you are taking the derivative with respect to (it is always with respect to x). But what if I have a function of a few variables, f(x,y,z)? Now, I can take the derivative with respect to x, y, or z. These are "partial" derivatives, because we are only interested in how the function varies w.r.t. a single variable, assuming that the other variables are independent and "frozen". e.g., Question: how does f vary with respect to y? Answer: (partial f/partial y) Now, what if our function again depends on a few variables, but these variables themselves depend on time: x(t), y(t), z(t) --> f(x(t),y(t),z(t))? Again, we might ask how f varies w.r.t. one of the variables x,y,z, in which case we would use partial derivatives. If we ask how f varies with respect to t, we would do the following: df/dt = (partial f/partial x)*dx/dt + (partial f/partial y)*dy/dt + (partial f/partial z)*dz/dt df/dt is known as the "total" derivative, which essentially uses the chain rule to drop the assumption that the other variables are "frozen" while taking the derivative. This framework is especially useful in physical problems where I might want to consider spatial variations of a function (partial derivatives), as well as the total variation in time (total derivative).
How is speed calculate?
Average speed is calculated by dividing the total distance covered divided by the time taken. Instantaneous speed is calculated as the derivative of displacement with respect to time.
Is absolute pressure static pressure?
Yes, absolute pressure is the pressure measured with respect to a vacuum, while static pressure is the pressure exerted by a fluid due to its motion or position. While they are related, they are not the same as static pressure does not take into account the atmospheric pressure.
What is the meaning of the name Liji?
Desire for so many things but gets nothing.
What is the derivative of 4xy3?
The derivative with respect to 'x' is 4y3 . The derivative with respect to 'y' is 12xy2 .
How do you find the velocity?
Velocity is the derivative of position (in a specific direction) with respect to time.
What is the derivative of distance with respect to time in the context of motion?
The derivative of distance with respect to time in the context of motion is the velocity of an object. It represents how fast the object is moving at a specific moment in time.
What is the derivative of fx1x4?
Your question must say 'derivative with respect to what variable.' If you want the derivative with respect to f itself, it is 4.
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 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.
What is another name for the third order deritative of displacement?
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.
What is the partial derivative of the van der Waals equation with respect to volume?
The partial derivative of the van der Waals equation with respect to volume is the derivative of the equation with respect to volume while keeping other variables constant.
Derivative of 2aXaXa with respect to x?
If by "2aXaXa", you actually mean "2a3", then the derivative with respect to a is 6a2. On the other hand, if you actually mean "2a3X2", then it's derivative with respect to X would be 6a2X2(da/dx) + 4a3X. If "a" is simply a constant though, then it's derivative is 4a3X
What is the derivative of t?
If it is with respect to t: 1 If it is with respect to some other variable (x for example): (dt)/(dx), which is literally read "the derivative of t with respect to x"
What is the dp/dt formula and how is it used to calculate the rate of change of pressure with respect to time in a given system?
The dp/dt formula represents the rate of change of pressure with respect to time in a system. It is calculated by taking the derivative of the pressure function with respect to time. This formula is commonly used in physics and engineering to analyze how pressure changes over time in various systems.
Is the derivative of u with respect to v constant when t is held constant?
No, the derivative of u with respect to v is not constant when t is held constant.
