Is #f(x)=3x^3-6x-7 # increasing or decreasing at #x=0 #?
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1 Answer
Feb 15, 2016
decreasing at x = 0
Explanation:
To find if the function is increasing / decreasing at x = 0 , require to find f'(x) and evaluate f'(0).
• If f'(0) > 0 then f(x) is increasing at x = 0
• If f'(0) < 0 then f(x) is decreasing at x = 0
now
# f'(x) = 9x^2 - 6# and f'(0) = - 6 < 0
hence f(x) is decreasing at x = 0
