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"we have to solve for when this equation equals zero" vs "we have to solve for the partial derivatives"

These two phrases are not directly comparable as they refer to different concepts. The first phrase is about solving an equation for a specific value, while the second phrase is about finding the partial derivatives of a function. They are used in different contexts and have distinct meanings.

Last Updated: March 15, 2024

we have to solve for when this equation equals zero

This phrase is correct and commonly used in mathematics when referring to finding the value(s) that make an equation equal to zero.

This phrase is used in mathematics when you need to find the value(s) that satisfy an equation by making it equal to zero.

Examples:

  • We have to solve for when this equation equals zero to find the roots of the function.
  • To solve for when this equation equals zero, we need to set the equation to zero and solve for the variable.

we have to solve for the partial derivatives

This phrase is correct and commonly used in mathematics when referring to finding the partial derivatives of a function with respect to one or more variables.

This phrase is used in calculus when you need to find the partial derivatives of a function with respect to one or more variables.

Examples:

  • We have to solve for the partial derivatives of the function with respect to x and y.
  • To solve for the partial derivatives, we need to differentiate the function with respect to each variable separately.

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