What is the derivative of 6sin(x-2/(cos(x))) ?

The derivative of 6sin(x-2/(cos(x))) is 6cos(x)-2sec(x)tan(x)

What is the first derivative of 6sin(x-2/(cos(x))) ?

The first derivative of 6sin(x-2/(cos(x))) is 6cos(x)-2sec(x)tan(x)

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\frac{d}{d x} (6 sin (x) - \frac{2}{cos ( x )})

6 cos (x) - 2 sec (x) tan (x)

Solution steps

\frac{d}{d x} (6 sin (x) - \frac{2}{cos ( x )})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 sin (x)) - \frac{d}{d x} (\frac{2}{cos ( x )})

\frac{d}{d x} (6 sin (x)) = 6 cos (x)

\frac{d}{d x} (\frac{2}{cos ( x )}) = 2 sec (x) tan (x)

= 6 cos (x) - 2 sec (x) tan (x)

What is the derivative of 6sin(x-2/(cos(x))) ?
The derivative of 6sin(x-2/(cos(x))) is 6cos(x)-2sec(x)tan(x)
What is the first derivative of 6sin(x-2/(cos(x))) ?
The first derivative of 6sin(x-2/(cos(x))) is 6cos(x)-2sec(x)tan(x)