Answer:
x^4 + 8x
-----------------
(4-x^3)^2
Step-by-step explanation:
d /dx (x^2/(4-x^3))
When we differentiate a fraction u/v
df/dx = u/v
= v du/dx-u dv/dx
---------------------------
v^2
we know u = x^2 so du/dx = 2x
v = (4-x^3) so dv/dx = -3x^2
d dx = (4-x^3) (2x)- x^2 ( -3x^2)
-------------------------------------
(4-x^3)^2
Combining terms
(8x-2x^4) --3x^4
-------------------------------------
(4-x^3)^2
8x-2x^4 +3x^4
-------------------------------------
(4-x^3)^2
x^4 + 8x
-------------------------------------
(4-x^3)^2
Order of Operations, also known as PEMDAS (Parentheses, Exponents, Multiplication & Division, Addition & Subtraction), can help to simplify an equation by guiding you through the steps to solve it.
This is because it tells you to solve the parentheses. If there is none, but you've already done this, you solve for exponents, etc.
The progressive soling of the equation not only makes it physically shorter, but also brings you closer to the answer.
Hope this helps, and I was the brainliest! :)
Answer:
Difference of squares:
y^4−25
16x^2−81
Not difference of squares:
20m^2n^2−121
p^8−q^5
Step-by-step explanation:
y^4−25
(y²)² - 5²
16x^2−81
(4x)² - 9²
20m^2n^2−121
20 is not a perfect square
p^8−q^5
q⁵ is not a perfect square
Answer:
12.5
Step-by-step explanation:
A 10x10 grid would have 100 units. If you divide it into 8 equal units you would do:
100 / 8
Which gets you, 12.5
Answer:
(-5,1)
Step-by-step explanation: