Calculus formula solvers

Categories — 73 of them, 1784 solvers in all

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Power Rule Derivative

\frac{d}{dx}\,x^{n} = n\,x^{n-1}

CalculusAlgebraValue of the derivative of xⁿ at a chosen x: drop the exponent in front and subtract one from it. The slope of a power function at a single point.

Related Rates: Inflating Sphere

\frac{dV}{dt} = 4\pi r^{2}\,\frac{dr}{dt}

CalculusGeometryThe chain rule on a sphere: how fast its volume grows from how fast its radius does, and back the other way. The balloon, the raindrop and the spreading oil drop are all this one relation.