The rule for differentiation for variable with exponents has the formula:
d/dx (xⁿ) = nxⁿ⁻¹
where n is the exponent
Thus, for the given equation, the solution is as follows:
y = 2x²
dy/dx = 2(2)x²⁻¹ = <em>4x
Thus, the derived equation of the given would now be 4x.</em>
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
Answer:
<u>Equation</u>: 
<u>The balance after 5 years is: $1742.43</u>
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Step-by-step explanation:
This is a compound growth problem . THe formula is:

Where
F is future amount
P is present amount
r is rate of interest, annually
n is the number of compounding per year
t is the time in years
Given:
P = 1500
r = 0.03
n = 12 (compounded monthly means 12 times a year)
The compound interest formula modelled by the variables is:

Now, we want balance after 5 years, so t = 5, substituting, we get:

<u>The balance after 5 years is: $1742.43</u>
Answer:
(4, -6)
Step-by-step explanation:
(x1+x2)/2 + (y1+y2)/2 = midpoint
(11+-3)/2 = 8/2 = 4. x = 4
(-5 + -7)/2 = -12/2. y = -6
4, -6 is the midpoint
give brainliest please! hope this helps :)
Answer:
Add up the area of all the sides
Step-by-step explanation:
Surface area is the shell of a 3d shape, not the volume so you add the outside of the shape.
Hope this helps! :)