Are there any ethical responsibilities that
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If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate .
We have
Expand the numerator using the binomial theorem, then simplify and compute the limit.
In general, the derivative of a power function is
. (This is the aptly-named "power rule" for differentiation.)
The 6th term of the geometric sequence is of -4096.
<h3>What is a geometric sequence?</h3>A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
For this problem, we have that:
- The first term is
.
, hence the common ratio is q = -4.
Thus the 6th term of the sequence is found as follows:
More can be learned about geometric sequences at brainly.com/question/11847927
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