Yay, implicit differnentiation
when you take the derivitive of y, you multiply it by dy/dx
example
dy/dx y^2=2y dy/dx
for x, the dy/dx dissapears
ok
so differnetiate and solve for dy/dx
3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)
so at (7,2)
x=7 and y=2
dy/dx=2/(3(2)²-7)
dy/dx=2/(3(4)-7)
dy/dx=2/(12-7)
dy/dx=2/5
answer is 2/5
We will use order of operations (PEMDAS) to solve this.
1.) 33+4(52-42) This is our equation. So, first we are gonna subtract 42 from 52.
2.) 33+4(10) Now that we did that, we are gonna add 4 to 33.
3.) 37(10) Lastly we are gonna multiply 37 by 10.
The answer is gonna be 370. If this helped, maybe consider giving me brainliest :)
<h3>
Answer:</h3><h3 /><h3>Amount = Rs 13891.50</h3><h3>Compound interest = Rs 1891.50</h3>
Step-by-step explanation:
C = Amount (A) - Principal (P)
Where
C is the compound interest
To find the amount we use the formula

where
P is the principal
r is the rate
n is the period / time
From the question
P = Rs 12, 000
r = 5%
n = 3 years
Substitute the values into the above formula
That's

We have the answer as
<h3>Amount = Rs 13891.50</h3>
Compound interest = 13891.50 - 12000
<h3>Compound interest = Rs 1891.50</h3>
Hope this helps you
Answer:
The answer is 10y + 48.
Step-by-step explanation:
First you have to get rid of brackets by expanding :

Next you have to collect like-terms :
