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Your PDFs, highlights, and reading history stay on this device.Understanding Calculus
DERIVATIVESA derivative measures change at a single instant.
Start with the slope between two nearby points, then move those points closer together.
As Δx approaches zero, the secant slope approaches the tangent slope.f(x)secanttangent
Discussion
How can a curve have a slope at just one point?
Take the slope between two points on the curve, then move them closer together. The value they approach is the tangent slope.
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