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The derivative of the formula for the volume of a sphere gives the formule for its surface area. Is it obvious that this should be so? How about the derivative of the volume of a cube? Does it give its surface area? Well NO, and ... YES!!!

NSW Stage 6 Mathematics and Extension 1:
8 The Tangent to a Curve and the Derivative of a Function11 Integration
NSW Stage 6 Mathematics Extension 2:
Topic 5 Volumes

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