Please help me :( 4.On which condition is the function differentiable ata point?A) continuous at the given pointB) has a vertical tangent at a given pointC) has a jump discontinuity at a givenpointD) has a cusp or corner at a given point5. Which of the following statements is true?A) A function that iscontinuous at x = c must bedifferentiable at x =c.B) A function that is notdifferentiable x = c must becontinuous at x = c.C) A function that is notcontinuous at x =c must notbe differentiable at x = c.D) A function that is notdifferentiable at x = c mustnot be continuous at x = c.

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4.On which condition is the function differentiable at a point? A) continuous at the given point B) has a vertical tangent at a given point C) has a jump discontinuity at a given point D) has a cusp or corner at a given point

4.On which condition is the function differentiable at a point? A) continuous at the given point B) has a vertical tangent at a given point C) has a jump discontinuity at a given point D) has a cusp or corner at a given point

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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Question

Please help me :(

4.On which condition is the function differentiable at
a point?
A) continuous at the given point
B) has a vertical tangent at a given point
C) has a jump discontinuity at a given
point
D) has a cusp or corner at a given point
5. Which of the following statements is true?
A) A function that is
continuous at x = c must be
differentiable at x =c.
B) A function that is not
differentiable x = c must be
continuous at x = c.
C) A function that is not
continuous at x =c must not
be differentiable at x = c.
D) A function that is not
differentiable at x = c must
not be continuous at x = c.

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