Maths
Exam
Numerical Ability
Find the maximum slope of the curve
f(x) = 2x + 3x^2 - x^3 - 27
Read Solution (Total 2)
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- f(x) = 2x + 3x^2 - x^3 - 27
slope = f'(x) = 2 + 6x - 3x^2
f''(x) = (6 - 6x) = 0 => x = 1
f'''(x) = -6 < 0 => f'(x) has a maxm at x = 1
maxm slope = f'(1)= 2 + 6 - 3 = 5
- 10 years agoHelpfull: Yes(3) No(0)
- Thanks @Rakesh
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