Enrich · Mathematics Advanced 11–12 – Year 12 · Applications of calculus

Enrich Define a function f(x) to be differentiable at x = a if limh→0(f(a + h) - f(a))/h exists, that is if there is a non-vertical tangent to the curve at the point P(a,f(a)) and recognise that if f(x) is differentiable at x = a then it is continuous at x = a

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