2. Proof that fis differentiable at x, thenf is continuos at xo By using f(x) – f(x.) = a(r) + B(r)
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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e6bf6c0-6e02-486c-ad03-5255cb8ae88e%2F4026bbe2-176b-4b9e-a7e3-8a1075d94926%2F16fzatn_processed.jpeg&w=3840&q=75)
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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