Find the values of x where the line tangent to the graph of f (x) = 1/x has a slope of − 6

Question

Find the larger and smaller solutions of x

Answer 1

f(x) = 1 / x = x^-1

f^'(x) = - x^-2 = - 1 / x² = -6

x² = 1/6

x = ± 1 / √6