What is the derivative of (0.5/(cos(x))) ?

The derivative of (0.5/(cos(x))) is 0.5sec(x)tan(x)

What is the first derivative of (0.5/(cos(x))) ?

The first derivative of (0.5/(cos(x))) is 0.5sec(x)tan(x)

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\frac{d}{d x} (\frac{0.5}{cos ( x )})

0.5 sec (x) tan (x)

Solution steps

\frac{d}{d x} (\frac{0.5}{cos ( x )})

Simplify

\frac{0.5}{cos ( x )} : 0.5 sec (x)

= \frac{d}{d x} (0.5 sec (x))

Take the constant out:

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

= 0.5 \frac{d}{d x} (sec (x))

Apply the common derivative:

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= 0.5 sec (x) tan (x)

What is the derivative of (0.5/(cos(x))) ?
The derivative of (0.5/(cos(x))) is 0.5sec(x)tan(x)
What is the first derivative of (0.5/(cos(x))) ?
The first derivative of (0.5/(cos(x))) is 0.5sec(x)tan(x)