Question
determine any values of x for which a tangent line to the curve f(x)=1/x will have a slope of -4
Answers
Reiny
if y = 1/x
then dy/dx = -1/x^2
so -1/x^2 = -4
x^2 = 1/4
x = ± 1/√2
then dy/dx = -1/x^2
so -1/x^2 = -4
x^2 = 1/4
x = ± 1/√2