Answer:
The graph of g(x) is wider.
Step-by-step explanation:
Parent function:
New function:
<u>Transformations</u>:
For a > 0
If the parent function is <u>shifted ¹/₄ unit up</u>:
If the parent function is <u>shifted ¹/₄ unit down</u>:
If the parent function is <u>compressed vertically</u> by a factor of ¹/₄:
If the parent function is <u>stretched horizontally</u> by a factor of ¹/₂:
Therefore, a vertical compression and a horizontal stretch mean that the graph of g(x) is wider.
Answer:
Step-by-step explanation:
For this exercise it is necessary to remember the following:
1) The Distributive Property states the following:
2) The multiplication of signs:
Knowing this, and having the following expression given in the exercise:
You can apply the Distributive property multiplying and
, which are inside the parentheses, by
.
So, you get the following result:
It follows from the definition of the derivative and basic properties of arithmetic. Let <em>f(x)</em> and <em>g(x)</em> be functions. Their derivatives, if the following limits exist, are
The derivative of <em>f(x)</em> + <em>g(x)</em> is then
