The answer to your question would be 32x^2
By first principles, the derivative is

Use the binomial theorem to expand the numerator:


where

The first term is eliminated, and the limit is

A power of
in every term of the numerator cancels with
in the denominator:

Finally, each term containing
approaches 0 as
, and the derivative is

Answer:
Step-by-step explanation:
There is a 1/5 chance she spins a 1. (1/5 = 20% = 0.2)
She spins 20 times:
20 * 0.2 = 4
So she should expect getting 4 twos.
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An arithmetic sequence (a_n) is as follows:

where

is the first term and d is the constant difference,
thus, we see that the n'th term of an arithmetic sequence is

in our particular case d=5, the third term is 8, so we have:

and the general term is

,
Answer: first term is -2, n'th term is -2+5(n-1)