How do you find the slope of the

Jasiah Vincent

Jasiah Vincent

Answered question

2022-04-10

How do you find the slope of the curve y3xy2=4 at the point where y=2?

Answer & Explanation

uvredio0of6

uvredio0of6

Beginner2022-04-11Added 17 answers

We need to start by finding the x-coordinate.
23x(2)2=4
-4x=-4
x=1
Now we differentiate.
3y2(dydx)y22xy(dydx)=0
dydx(3y22xy)=y2
dydx=y3y2x
The slope is simply the value of dydx at (1,2)
dydx=262=24=12

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