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Popular >

derivative of 4sec(x-8cos(x))

Solution

\frac{d}{d x} (4 sec (x) - 8 cos (x))

Solution

4 sec (x) tan (x) + 8 sin (x)

Solution steps

\frac{d}{d x} (4 sec (x) - 8 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 sec (x)) - \frac{d}{d x} (8 cos (x))

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

\frac{d}{d x} (8 cos (x)) = - 8 sin (x)

= 4 sec (x) tan (x) - (- 8 sin (x))

Simplify

= 4 sec (x) tan (x) + 8 sin (x)

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Frequently Asked Questions (FAQ)

What is the derivative of 4sec(x-8cos(x)) ?
The derivative of 4sec(x-8cos(x)) is 4sec(x)tan(x)+8sin(x)
What is the first derivative of 4sec(x-8cos(x)) ?
The first derivative of 4sec(x-8cos(x)) is 4sec(x)tan(x)+8sin(x)