For the equation given below, evaluate y' at the point (-2,2).

Question

(5x-y)⁴-3y³=20760

Answer 1

(-12)^4 -3(2) = 20736 -6 = 20730 not 10760

(5x-y)^4 -3y

for (-2,2)

=(-10-2)^4 -3(2)

=(-12)^4 -6

the point (-2,2) isn't on the graph of the equation

try a graphing calculator, online or handheld

the graph is a U type shaped curve but doesn't seem to go through the point (-2,2) although it comes very close,

points nearest (-2,2) on the curve appear to have slopes that are nearly vertical or undefined

the derivative y' = dy/dx = the slope of a tangent line at the point

there seems to be a problem with the problem, miscopied or misprinted