Question

Consider the function f(x) = x^2e^{18x}. This function has two critical numbers A < B: A = and B = For each of the following intervals, tell whether f'(x) is positive (type in +) or negative (type in -). (-?, A): (A, B): (B, ?): Thus we conclude that f(x) has a local at A (type in MAX or MIN) and a local at B.

          Consider the function f(x) = x^2e^{18x}.
This function has two critical numbers A < B:
A =
and B =
For each of the following intervals, tell whether f'(x) is positive (type in +) or negative (type in -).
(-?, A):
(A, B):
(B, ?):
Thus we conclude that f(x) has a local at A (type in MAX or MIN) and a local at B.

Consider the function f(x) = x^2e^18x.
This function has two critical numbers A < B:
A =
and B =
For each of the following intervals, tell whether f'(x) is positive (type in +) or negative (type in -).
(-?, A):
(A, B):
(B, ?):
Thus we conclude that f(x) has a local at A (type in MAX or MIN) and a local at B.

Added by Brandon S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

09/02/2023

Step 1

For the interval (-∞, A), we need to determine whether f(x) is positive or negative. We can do this by plugging in a value that is less than A into the function and seeing if the result is positive or negative. For example, if we plug in x = -1, we get f(-1) = Show more…

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This function has two critical numbers A < B: A = and B = For each of the following intervals, tell whether f'(x) is positive (type in +) or negative (type in -). (-∞, A): (A, B): (B, ∞): Thus we conclude that f(x) has a local at A (type in MAX or MIN) and a local at B.