What is the derivative of-4sec(x+2csc(x)) ?

The derivative of-4sec(x+2csc(x)) is -4sec(x)tan(x)-2cot(x)csc(x)

What is the first derivative of-4sec(x+2csc(x)) ?

The first derivative of-4sec(x+2csc(x)) is -4sec(x)tan(x)-2cot(x)csc(x)

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\frac{d}{d x} (- 4 sec (x) + 2 csc (x))

- 4 sec (x) tan (x) - 2 cot (x) csc (x)

Solution steps

\frac{d}{d x} (- 4 sec (x) + 2 csc (x))

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (4 sec (x)) + \frac{d}{d x} (2 csc (x))

\frac{d}{d x} (4 sec (x)) = 4 sec (x) tan (x)

\frac{d}{d x} (2 csc (x)) = - 2 cot (x) csc (x)

= - 4 sec (x) tan (x) - 2 cot (x) csc (x)

What is the derivative of-4sec(x+2csc(x)) ?
The derivative of-4sec(x+2csc(x)) is -4sec(x)tan(x)-2cot(x)csc(x)
What is the first derivative of-4sec(x+2csc(x)) ?
The first derivative of-4sec(x+2csc(x)) is -4sec(x)tan(x)-2cot(x)csc(x)