2. Proof that fis differentiable at x, thenf is continuos at xo By using f(x) – f(x.) = a(r) + B(r)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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2. Proof that f is differentiable at x, then f is continuos at x.
By using
f(x) – f(x.)
a(x) + B(x)
х — Хо
Where B(x) -→0
Then f is differentiable at x, and a(x.) = f'(x.)
as x хо
%3D
Transcribed Image Text:2. Proof that f is differentiable at x, then f is continuos at x. By using f(x) – f(x.) a(x) + B(x) х — Хо Where B(x) -→0 Then f is differentiable at x, and a(x.) = f'(x.) as x хо %3D
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