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Popular >

derivative of 2sec(x-csc(x))

Solution

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

Solution

2 sec (x) tan (x) + cot (x) csc (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= 2 sec (x) tan (x) + cot (x) csc (x)

Graph

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Frequently Asked Questions (FAQ)

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