How do you use implicit differentiation to find (dy)/(dx) given 3x^2+3y^2=2?
2 Answers
Apr 12, 2018
Explanation:
Implicit differentiation of the circle
Solving for
Apr 12, 2018
Explanation:
color(blue)"differentiate implicitly with respect to x"
"noting that"
d/dx(y)=dy/dx" and "d/dx(y^2)=2ydy/dx
rArr6x+6ydy/dx=0
rArr6ydy/dx=-6x
rArrdy/dx=(-6x)/(6y)=-x/y