What is the derivative of 4sec(x-3x) ?

The derivative of 4sec(x-3x) is 4sec(x)tan(x)-3

What is the first derivative of 4sec(x-3x) ?

The first derivative of 4sec(x-3x) is 4sec(x)tan(x)-3

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\frac{d}{d x} (4 sec (x) - 3 x)

4 sec (x) tan (x) - 3

Solution steps

\frac{d}{d x} (4 sec (x) - 3 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 sec (x)) - \frac{d}{d x} (3 x)

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

\frac{d}{d x} (3 x) = 3

= 4 sec (x) tan (x) - 3

What is the derivative of 4sec(x-3x) ?
The derivative of 4sec(x-3x) is 4sec(x)tan(x)-3
What is the first derivative of 4sec(x-3x) ?
The first derivative of 4sec(x-3x) is 4sec(x)tan(x)-3