What is the derivative of sec(x-tan(x)) ?

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

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

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

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\frac{d}{d x} (sec (x) - tan (x))

sec (x) tan (x) - sec^{2} (x)

Solution steps

\frac{d}{d x} (sec (x) - tan (x))

Apply the Sum/Difference Rule:

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

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

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

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

= sec (x) tan (x) - sec^{2} (x)

x \to 0 lim (sech^{2} (x))

\frac{\partial}{\partial r} (r sin (t))

\int 5 cos (3 x) d x

\int cot^{5} (x) csc^{3} (x) d x

x \to 2 lim (3 x^{4})

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