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dybincka [34]
3 years ago
15

Find the derivative of the function using the definition of derivative. g(t) = 7 t g'(t) = State the domain of the function. (En

ter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.)
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

R = \{ \forall x \in \mathbf{R}|-\infty <  x < \infty\}

Step-by-step explanation:

The definition of derivative states that:

g'(t) =  \lim_{h \to 0} \frac{g(t+h)-g(t)}{h}

Then:

g'(t) =  \lim_{n \to \infty} \frac{7\cdot (t+h)-7\cdot t}{h}

g'(t) =  \lim_{h \to 0} 7

g'(t) = 7

A constant function is a zero-order polynomial. The domain of any real polynomial is \mathbf{R}. Then, the domain of the function is:

R = \{ \forall x \in \mathbf{R}|-\infty <  x < \infty\}

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Hi,

When we divide 5655 by N, we get remainder of 11, which means that 5655-11 is a multiple of N.

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Because 5644 and 5865 are both multiples of N, their difference must be a multiple of N.

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We have three number of which N can be a multiple of, however we choose to factorize the smallest possible number amongst these three, which is 221. (This is only for simplification of the solution, smaller the number, less the factors)

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There are only two two - digit factors: 13 and 17.

We divide 5865 and 5644 by both numbers.

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