Frank L.

Find the domain of the function.

$ f(x) = \dfrac{x + 4}{x^2 - 9} $

(a) How is the number $ e $ defined?
(b) Use a calculator to estimate the values of the limits

$ \displaystyle \lim_{h\to 0}\frac {2.7^h - 1}{h} $ and $ \displaystyle \lim_{h\to 0}\frac {2.8^h - 1}{h} $

correct to two decimal places. What can you conclude about the value of $ e $?

Differentiate the function.
$ f(x) = 2^{40} $

Differentiate the function.
$ f(x) = 5.2x + 2.3 $

Differentiate the function.
$ f(x) = e^5 $

Differentiate the function.
$ g(x) = \frac{7}{4}x^2 - 3x + 12 $