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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2) = 0

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

Simplify

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

\int x (x - 2)^{4} d x

n = 1 \sum \infty \frac{1}{n ^{2} + 300}

y^{^{'}} = 2 y (5 - y)

f (x) = (x^{2} - 2) (x^{3} - 3 x), at x = - 2

x \to 0 lim (\frac{x ^{2} - 5}{x - 2})

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