The maximum slope of the curve
-x3 + 6x3 + 2x + 1 is
| A. | 14 |
| B. | 16 |
| C. | 19 |
| D. | -13 |
Answer : A Explanation : Let f(x) = -x3 + 6x2 + 2x + 1
Slope of the function is, f'(x) = -3x2 + 12x + 2 = F(x) (say)
Now to find minimum or maximum of F(x) Therefore F'(x) = - 6x + 12 F"(2) = -6 For maxima and minima, F'(x) = 0 ⇒ x = 2
Therefore F"(2) = -6
Hence F(x) (slope) is maximum at x = 2
Maximum slope = F(2) = -3(2)2 + 12(2) + 2 = 14
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Option: A Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. |
