What is the derivative of sec^2(x-3) ?

The derivative of sec^2(x-3) is 2sec^2(x)tan(x)

What is the first derivative of sec^2(x-3) ?

The first derivative of sec^2(x-3) is 2sec^2(x)tan(x)

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\frac{d}{d x} (sec^{2} (x) - 3)

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

Solution steps

\frac{d}{d x} (sec^{2} (x) - 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sec^{2} (x)) - \frac{d}{d x} (3)

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

\frac{d}{d x} (3) = 0

= 2 sec^{2} (x) tan (x) - 0

Simplify

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

What is the derivative of sec^2(x-3) ?
The derivative of sec^2(x-3) is 2sec^2(x)tan(x)
What is the first derivative of sec^2(x-3) ?
The first derivative of sec^2(x-3) is 2sec^2(x)tan(x)