Differentiability and Continuity 3. Determine if((х — 1)*,Vx – 1,if x < 1h(x)if x > 1is differentiable at x = 1.

Answered: 3. Determine if (х — 1)2, if x < 1 h(x)…

Math

Advanced Math

3. Determine if (х — 1)2, if x < 1 h(x) = %3D Vx – 1, if x > 1 is differentiable at x = 1.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Differentiability and Continuity

3. Determine if
((х — 1)*,
Vx – 1,
if x < 1
h(x)
if x > 1
is differentiable at x = 1.

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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