<u>15x⁵y⁵</u> = <u>3x⁴</u>
25xy⁹ y⁴
Derivatives can be calculated from graphed functions.
The values of the derivatives are:
The given parameter is:

Start by calculating the equations of f(x) and g(x)
<u>Graph f(x)</u>
The slopes of f(x) are: 3/2 and -3/2
So, the equations are:


<u>Graph g(x)</u>
The slope of g(x) is: -1/2
So, the equation is:

<u>For x = 1 and x = 2, we have:</u>
So, we have:

Where:
and 
becomes

Open brackets

Differentiate

So:


For x = 3, we have:

Where:
and 
becomes


Differentiate

Substitute 3 for x

Hence, the values of the derivatives are:
,
and 
Read more about graphed functions at:
brainly.com/question/11804653
Answer:
7
Step-by-step explanation:
x= -4 and x=8
f(x) =6║x-2║+3
39= 6║x-2║+3
36=6║x-2║
6=║x-2║
-(x-2)=6
-x+2=6
x=-4
x-2=6
x=8
Answer:
343
Step-by-step explanation:
<u>Let's start simplifying with the numerator:</u>
(15-8)⁹
=7⁹
=40353607
<u>Now simplify the denominator :</u>
[(5+2)³]²
=[(7)³]²
=[343]²
=117649
<u>Now combine them :</u>
(15-8)⁹/ [(5+2)³]²
=40353607 / 117649
=343