* ZAIN IQ lI.docs.google.com aIf f(z) is a continuous function at a point z, , then f(z) is differentiable at z, . But theconverse is not true in generalTFOنقطة واحدةif z= 0The function f(z)=)? ifis differentiable at z= 0Z+0FOTOنقطة واحدةIf f(z) = ecos ( In r) +ie ® sin ( In r) r>0, 0 < e < 2n. Then f'(i) = e 2TOFO->11

Answered: If f(2) is a continuous function at a…

If f(2) is a continuous function at a point z, , then f(z) is differentiable at z, . But the converse is not true in general TO FO

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

* ZAIN IQ lI.
docs.google.com a
If f(z) is a continuous function at a point z, , then f(z) is differentiable at z, . But the
converse is not true in general
T
FO
نقطة واحدة
if z= 0
The function f(z)=
)? if
is differentiable at z= 0
Z+0
FO
TO
نقطة واحدة
If f(z) = e
cos ( In r) +ie ® sin ( In r) r>0, 0 < e < 2n. Then f'(i) = e 2
TO
FO
->
11

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