How to solve this I don’t get this material
1 answer:
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Assuming the function is
For
to be differentiable, it necessarily has to be continuous. For this condition to be met, we need
For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have
Now we solve for
and 
:
For
For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have
Now we solve for
Answer:
for
, with
.
Step-by-step explanation:
To obtain x-intercepts, we need to give certain value, specifically .
However, in case of a rational function, we must make sure that doesn't makes the denominator null, beacuse in that case the function is undefined.
Therefore, for x-intercepts we must say
for
, with
.