What is the derivative of 3csc(x-5sec(x)) ?

The derivative of 3csc(x-5sec(x)) is -3cot(x)csc(x)-5sec(x)tan(x)

What is the first derivative of 3csc(x-5sec(x)) ?

The first derivative of 3csc(x-5sec(x)) is -3cot(x)csc(x)-5sec(x)tan(x)

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\frac{d}{d x} (3 csc (x) - 5 sec (x))

- 3 cot (x) csc (x) - 5 sec (x) tan (x)

Solution steps

\frac{d}{d x} (3 csc (x) - 5 sec (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 csc (x)) - \frac{d}{d x} (5 sec (x))

\frac{d}{d x} (3 csc (x)) = - 3 cot (x) csc (x)

\frac{d}{d x} (5 sec (x)) = 5 sec (x) tan (x)

= - 3 cot (x) csc (x) - 5 sec (x) tan (x)

x \to 0 lim (2^{\frac{1}{x}})

\int - \frac{1}{x + 8} + \frac{9}{x - 4} d x

f (x) = - \frac{1}{x ^{2}}

\frac{d}{d x} (x^{- 5 c o s (x)})

x \to 1 lim (4 x^{2} + 2 x + 5)

What is the derivative of 3csc(x-5sec(x)) ?
The derivative of 3csc(x-5sec(x)) is -3cot(x)csc(x)-5sec(x)tan(x)
What is the first derivative of 3csc(x-5sec(x)) ?
The first derivative of 3csc(x-5sec(x)) is -3cot(x)csc(x)-5sec(x)tan(x)