First slide

Application of diffrentiation

Question

The function x⁵ - 5x⁴ + 5x³ – 10 has a maxima, when x =

Moderate

A

3
B

2
C

1
D

0

Solution

$\begin{array}{l} \frac{d y}{d x} = \frac{d}{d x} (x^{5} - 5 x^{4} + 5 x^{3} - 10) = 5 x^{4} - 20 x^{3} + 15 x^{2} = 0; x = 3, 0, 1 \\ \frac{d^{2} y}{d x^{2}} < 0 at x = 1 \end{array}$

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