Mathematics: Find the second derivative of f(x)=sec(x)

Find the second derivative of f(x)=sec(x)

Ответ:

morgaaaan651

01.01.2022

F(x) = sec(x)
f(x) = 1
cos(x)

$\frac{f(x + \delta x) - f(x)}{\delta x} = \frac{(1 + \delta x) - 1}{\delta x}$
$\frac{f(x + \delta x) - f(x)}{\delta x} = \frac{1 - 1 + \delta x}{\delta x}$
$\frac{f(x + \delta x) - f(x)}{\delta x} = \frac{\delta x}{\delta x}$
$\frac{f(x + \delta x) - f(x)}{\delta x} = 1$

$\frac{f(x + \delta x) - f(x)}{\delta x} = -sin(x)$

$sec(x)' = \frac{1}{-sin(x)}$
sec(x)' = -csc(x)

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Ответ:

thibeauxkristy

27.04.2020

Mathematics

23456789

Step-by-step explanation:

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Find the second derivative of f(x)=sec(x)

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