Question Detail

MTH 102 Differentiation Objective Question
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Question

Stationary points of \( y = x^3 + 12x^2 + 45x + 50 \) are?
Options
A \( (-3, 4) \) and \( (-5, 0) \)
Correct Answer
B \( (3, 0) \) and \( (5, 0) \)
C \( (-3, 0) \) and \( (-5, 4) \)
D No stationary points
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y' = 3x^2 + 24x + 45 = 3(x+5)(x+3) ). Coordinates at -5 and -3 are ( -5, 0) and (-3, 4).

Hint

Find the zeros of the derivative quadratic expression.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 204 of 930
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