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dybincka [34]
2 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]2 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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