Question

Find the slope of the tangent line to the curve 2x^2+4xy+2y^3=114 at the point (-7,4)

Answer 1

Find the 1st derivative of this.
Isolate the dy/dx.
Plug in your point into the (rearranged) derivative function.
(-7 for every x, and 4 for every y)
After you get a numerical value for the dy/dx (that's your slope,) then apply the point slope form.

(Point slope form is \(\large\color{black}{ y-y_1=m(x-x_1) }\) , and don't forget that every derivative of y, will involve dy/dx )

Answer 2

i got it :), its 3/17, thanks