What is the derivative of 9sec(x-pi/2) ?

The derivative of 9sec(x-pi/2) is -9cot(x)csc(x)

What is the first derivative of 9sec(x-pi/2) ?

The first derivative of 9sec(x-pi/2) is -9cot(x)csc(x)

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\frac{d}{d x} (9 sec (x - \frac{π}{2}))

- 9 cot (x) csc (x)

Solution steps

\frac{d}{d x} (9 sec (x - \frac{π}{2}))

Simplify

9 sec (x - \frac{π}{2}) : 9 csc (x)

= \frac{d}{d x} (9 csc (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \frac{d}{d x} (csc (x))

Apply the common derivative:

\frac{d}{d x} (csc (x)) = - cot (x) csc (x)

= 9 (- cot (x) csc (x))

Simplify

= - 9 cot (x) csc (x)

What is the derivative of 9sec(x-pi/2) ?
The derivative of 9sec(x-pi/2) is -9cot(x)csc(x)
What is the first derivative of 9sec(x-pi/2) ?
The first derivative of 9sec(x-pi/2) is -9cot(x)csc(x)