Interwoven Variables: The World of Implicit Relations
An implicit relation is an equation that links x and y without solving for y, such as x² + y² = 25. To find dy/dx, differentiate both sides with respect to x, treating y as a function of x (so the derivative of y² is 2y·dy/dx), then solve for dy/dx. For the circle, that gives […]
How to Rearrange a Multi-Variable Equation
To rearrange a multi-variable equation, pick the variable you want to isolate and undo everything around it in reverse order: first addition and subtraction, then multiplication and division. Treat every other letter as if it were a number. For example, solving A = lw for w gives w = A/l. Open the solver in full […]
