we find that the minimum value is reached vs is the first derivative with respect to

These two phrases are not directly comparable as they are unrelated. The first phrase talks about finding the minimum value of something, while the second phrase seems incomplete and lacks context. It seems like there might be a missing part in the second phrase, making it difficult to determine its correctness.

Last updated: March 15, 2024 • 652 views

we find that the minimum value is reached

This phrase is correct and commonly used in English to express the discovery of the minimum value of something.

This phrase is used to indicate that after a process of analysis or calculation, the minimum value of a variable or function has been identified.

Examples:

After analyzing the data, we find that the minimum value is reached at x=2.
In the optimization process, we find that the minimum value is reached when the constraints are satisfied.

is the first derivative with respect to

This phrase seems incomplete and lacks context. It appears to be part of a mathematical expression or question, but it is not a complete or correct sentence on its own.

This phrase needs to be completed with the variable or function with respect to which the first derivative is being calculated. It is commonly used in mathematical contexts to find the rate of change of a function.

Show examples from the web [+]

is the first derivative with respect to x , and y^((n))=d^ny/dx^n is the n th derivative with respect to x . Nonhomogeneous ordinary differential equations can be ...
Sep 3, 2012 ... So, for example, is the first derivative (with respect to ) of the polynomial corresponding to . The Problem: If I try or , everything is fine. If I attempt ...
Mar 6, 2012 ... D[0] is the first derivative with respect to x, D[1] is the first derivative with respect to y, D[0,0] is the second derivative with respect to x and D[1,1] ...
is the first derivative with respect to time of position; we have effectively chosen to plot the derivative of position rather than position itself. We can sometimes use.

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we find that the minimum value is reached vs is the first derivative with respect to