d/dx (secx)=
secx×tanx
Using the chain rule of differentiation, we can find the derivative of sec x with respect to x as follows:
Let y = sec x
Then, we can rewrite y as y = 1/cos x
Now, we can use the quotient rule to differentiate y with respect to x as follows:
d/dx (1/cos x) = (-1/cos^2 x) * (-sin x)
= sin x/cos^2 x
= sin x * sec^2 x
Therefore, d/dx (sec x) = sin x * sec^2 x
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