Question

Use implicit differentiation to find the slope of the tangent line to the curve

Answer 1

\[\frac{ y }{ x-8y }= x^2- 7\]

Answer 2

im not sure if should do quotient rule or if i can multiply the denominator to the other side
BY THE WAY THE CORDINATE IS (\[\left( 1,\frac{ -6 }{ -47 } \right)\]

Answer 3

I would multiply to the other side first to make it easier to preform

Answer 4

Yea just use quotient rule on the one side

Answer 5

The equation to find the slope is dy/dx = (2x^2-8yx+y)/(x-16y) I think

Answer 6

you can simplify it further but I got things to do lol

Answer 7

ok ill see, thanks though

Answer 8

No problem