What is the derivative of 2sec(x-7x) ?

The derivative of 2sec(x-7x) is 2sec(x)tan(x)-7

What is the first derivative of 2sec(x-7x) ?

The first derivative of 2sec(x-7x) is 2sec(x)tan(x)-7

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\frac{d}{d x} (2 sec (x) - 7 x)

2 sec (x) tan (x) - 7

Solution steps

\frac{d}{d x} (2 sec (x) - 7 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 sec (x)) - \frac{d}{d x} (7 x)

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

\frac{d}{d x} (7 x) = 7

= 2 sec (x) tan (x) - 7

What is the derivative of 2sec(x-7x) ?
The derivative of 2sec(x-7x) is 2sec(x)tan(x)-7
What is the first derivative of 2sec(x-7x) ?
The first derivative of 2sec(x-7x) is 2sec(x)tan(x)-7