I need to know second order derivative #(d^2y)/dx^2# for #6xy^6-2y^(1/2)=52y^2# using implicit differentiation at point #(9,1)#?
I can get the first order differentiation just fine. I can't seem to get the right answer though
I can get the first order differentiation just fine. I can't seem to get the right answer though
1 Answer
0.0142, to three significant figures
Explanation:
Equation:
Differentiate:
Collect
Differentiate again:
Collect
Expression for
Substitute this in to the expression for
Combine factors:
The question asks us to evaluate this expression at the specific point
So:
This isn't a pleasant expression, so we'll simply evaluate it numerically:
0.0142, to three significant figures