Question

find dy/dx at the point (-2,0) if y^3=x^3+e^x siny+8

Answer 1

take derivative both sides
isolate y'
replace the point

Answer 2

any chance you could show how?

Answer 3

\[3y^2y'= 3x^2+e^xsiny +e^xcosy*y'\\3y^2y'-e^xcosy*y'=3x^2+e^xsiny\]
factor y'
isolate y'
replace (-2,0)

Answer 4

c my attachment