## d/dx(secx)

### To find the derivative of sec(x) with respect to x, we can use the quotient rule

To find the derivative of sec(x) with respect to x, we can use the quotient rule. The derivative of sec(x) can be written as:

d/dx(sec(x)) = d/dx(1/cos(x))

Now, applying the quotient rule, we have:

= (cos(x)(0) – 1(-sin(x))) / (cos^2(x))

= -(-sin(x)) / (cos^2(x))

= sin(x) / (cos^2(x))

Therefore, the derivative of sec(x) is equal to sin(x) / cos^2(x).

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