Question

e is called
function.
a. Natural exponential function
b. Simple exponential function
c. Differentiable exponential function
d. common exponential function​

Answer 1

Answer:

a. Natural exponential function

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

a. Natural exponential function

The (natural) exponential function f(x) = ex is the unique function which is equal to its own derivative, with the initial value f(0) = 1 (and hence one may define e as f(1)). The natural logarithm, or logarithm to base e, is the inverse function to the natural exponential function.

b. Simple exponential function

Just as in any exponential expression, b is called the base and x is called the exponent. An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hour

c. Differentiable exponential function

The exponential function is differentiable on the entire real line. ex > 0 for all real numbers x. (ex)c = exc for all real numbers x and c.

d. common exponential function

An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.