Question

Let f(x) = 2x^3 - 3x^2 - 12x + 8. a. Find all points on the graph of f(x) at which the tangent line is horizontal. b. Find all points on the graph of f(x) at which the tangent line has slope 168. a. The tangent line is horizontal at the point(s) . (Type an ordered pair. Use a comma to separate answers as needed.) b. The slope of the tangent line is 168 at the point(s) . (Type an ordered pair. Use a comma to separate answers as needed.)

          Let f(x) = 2x^3 - 3x^2 - 12x + 8.
a. Find all points on the graph of f(x) at which the tangent line is horizontal.
b. Find all points on the graph of f(x) at which the tangent line has slope 168.
a. The tangent line is horizontal at the point(s) .
(Type an ordered pair. Use a comma to separate answers as needed.)
b. The slope of the tangent line is 168 at the point(s) .
(Type an ordered pair. Use a comma to separate answers as needed.)

Let f(x) = 2x^3 - 3x^2 - 12x + 8.
a. Find all points on the graph of f(x) at which the tangent line is horizontal.
b. Find all points on the graph of f(x) at which the tangent line has slope 168.
a. The tangent line is horizontal at the point(s) .
(Type an ordered pair. Use a comma to separate answers as needed.)
b. The slope of the tangent line is 168 at the point(s) .
(Type an ordered pair. Use a comma to separate answers as needed.)

Added by Sonia S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Supreeta N

07/17/2023

Step 1

f(x) = 2x^3 - 3x^2 + 12x + 8 f'(x) = 6x^2 - 6x + 12 a) Show more…

Show all steps

Thanks for your feedback!

Let f(x) = 2x^3 - 3x^2 - 12x + 8. a. Find all points on the graph of f(x) at which the tangent line is horizontal. b. Find all points on the graph of f(x) at which the tangent line has slope 168. a. The tangent line is horizontal at the point(s) (Type an ordered pair. Use a comma to separate answers as needed.) b. The slope of the tangent line is 168 at the point(s) (Type an ordered pair. Use a comma to separate answers as needed.)