Use the rules 𝑑 𝑑𝑥𝑒𝑥 = 𝑒𝑥 and 𝑑 𝑑𝑥𝑒𝑓(𝑥) = 𝑓′(𝑥)𝑒𝑓(𝑥).

mm-u3-t1-s1-d4

Interactive

The derivative of e^x is e^x

manipulative

Sweep a tangent along y = e^x — the measured slope equals the height of the curve; for e^{f(x)} the chain multiplies by f′.

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