Problem

Question 8: (2 marks) The function \( f(x)=x^{3}+9 x^{2}-48 x-8 \) has relative minimum value at a) \( (-8,-440) \) b) \( (2,-60) \) c) \( (2,60) \) d) \( (-2,-60) \)

Solution

Step 1 :\( f'(x) = 3x^2 + 18x - 48 \)

Step 2 :\( f''(x) = 6x + 18 \)

Step 3 :\( x = 2 \)

Step 4 :\( f(2) = -60 \)

Step 5 :\( (2, -60) \)

From Solvely APP
Source: https://solvelyapp.com/problems/10638/

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