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Mathematics 45 Online
OpenStudy (anonymous):

How do you know you can't take the derivative of an equation?

OpenStudy (anonymous):

you can always take the derivative of a function. taking derivative == finding slope of a function. so unless the function has an undefined slope, you can always find the derivative.

OpenStudy (anonymous):

Thanks :)

OpenStudy (anonymous):

if the function is not continous

OpenStudy (anonymous):

at that point

OpenStudy (anonymous):

that too. DeritaveOfJuan is right.

OpenStudy (anonymous):

If derivative exists the function is continuous on that domain..but does the vice-versa is true?

OpenStudy (anonymous):

no, even if the function is cont, it does not mean it has a derivative, Think about the graph of y=IxI

OpenStudy (anonymous):

its cont but differentiable at x=0

OpenStudy (anonymous):

not*

OpenStudy (chriss):

Which is because a vertex is formed at x=0. Vertexes and noncontinuous are defined as undifferentiable.

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