Derivative Functions
The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.
Definition:
let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists:
Sketch a right
triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x”
and assigning angle “a” as the angle between A and H. Using Pythagorean theorem,
you will get “square root of x-squared minus 9” as the opposite side (O). Using
SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) =
x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side
over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the
algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.
The correct question is
<span>Keiko sold 3 less than three-fourths of his sister’s sales. Which expression represents what Keiko sold?
Let
S----------------> </span><span>the amount that Keiko's Sister sold
</span>K----------------> the amount that Keiko sold
we know that
Keiko sold 3 less than three-fourths of his sister’s sales
K=(3/4)*S-3
the answer is
K=(3/4)*S-3
The answer is 4^2=4 x 4= 16
Answer:
$26
Step-by-step explanation:
15+15 +30
30% of 20 is 6
add the tax and tip to the initial $20 and you have $26
