Posts in Learn math
Partial derivatives in two variable functions

Finding derivatives of a multivariable function means we’re going to take the derivative with respect to one variable at a time. For example, we’ll take the derivative with respect to x while we treat y as a constant, then we’ll take another derivative of the original function, this one with respect to y while we treat x as a constant.

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Symmetric equations for the line of intersection of two planes

If two planes intersect each other, the curve of intersection will always be a line. To find the symmetric equations that represent that intersection line, you’ll need the cross product of the normal vectors of the two planes, as well as a point on the line of intersection.

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Finding inverse trig derivatives

To avoid confusion between negative exponents and inverse functions, sometimes it’s safer to write arcsin instead of sin^(-1) when you’re talking about the inverse sine function. The same thinking applies to the other five inverse trig functions.

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How to add and subtract rational expressions

We’ll look at how to add and subtract fractions that have variables in them as well as numbers. We’ll start by finding a common denominator from the factors of each of the individual denominators.

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How to find the orthogonal trajectories

The orthogonal trajectories to a family of curves are the curves that intersect each member of the family at a perfectly perpendicular angle. So given a family of curves, you can change the value of the constant in the equation that models the family, to create a family of many curves, and then sketch the family in the plane.

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