Question

Compute $\frac{d^{2}y}{du^2}\ |_2$ for $y=\frac{1}{u}$

Answer 1

Step-by-step explanation:

$y = \frac{1}{u}$

$\frac{dy}{du} = \frac{ - 1}{ {u}^{2} }$

$\frac{ {d}^{2}y }{d {u}^{2} } = \frac{2}{ {u}^{3} }$

$\frac{ {d}^{2}y }{d {u}^{2} } \: at \: u = 2 \: \\ \frac{2}{ {2}^{3} } = \frac{1}{ {2}^{2} } = \frac{1}{4}$

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