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Derivatives animations

5 verified, narrated animations about derivatives, reviewed by hand and checked at animation steps. Watch free; download the video or adapt it to your lesson with any paid plan.

Gradient descent: walk downhill on the loss
Gradient descent: walk downhill on the loss

A ball rolls along the parabola L(w) = (w-3)^2 + 1, starting at w = -1 and updating via w <- w - eta dL/dw wit…

Optimization: the biggest rectangle for a fixed perimeter
Optimization: the biggest rectangle for a fixed perimeter

An animation shows a rectangle with fixed perimeter 20 changing shape as its width varies, tracing the area fu…

Newton's method: follow the tangent to the root
Newton's method: follow the tangent to the root

Starting from x0 = 2.5 on f(x) = x^2 - 2, this animation draws each tangent line and follows it down to the x-…

The fundamental theorem of calculus: area has a derivative
The fundamental theorem of calculus: area has a derivative

A curve f is shown alongside a second graph tracking A(x), the running area under f from 0 to x. As x sweeps r…

The derivative as the limit of secant slopes
The derivative as the limit of secant slopes

An animation tracks secant lines through the fixed point (2, f(2)) on f(x) = x^2/4 + 1/2 as the second point s…

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