What is the derivative of sec^2(x-1) ?

The derivative of sec^2(x-1) is 2tan(x)sec^2(x)

What is the first derivative of sec^2(x-1) ?

The first derivative of sec^2(x-1) is 2tan(x)sec^2(x)

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\frac{d}{d x} (sec^{2} (x) - 1)

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

Solution steps

\frac{d}{d x} (sec^{2} (x) - 1)

Simplify

sec^{2} (x) - 1 : tan^{2} (x)

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

Apply the chain rule:

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

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

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

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

\int_{0}^{\frac{π}{2}} \frac{1}{x ^{2} + 2} d x

x \to \infty lim (\frac{x ^{5}}{x ^{10} + 9})

f (x) = x^{2} sin (x) + 2 x cos (x)

\frac{d y}{d x} = x y + 2 y

y^{^{''}} - 10 y^{^{'}} + 25 y = \frac{4.5 e ^{5 t}}{tt + 1}

What is the derivative of sec^2(x-1) ?
The derivative of sec^2(x-1) is 2tan(x)sec^2(x)
What is the first derivative of sec^2(x-1) ?
The first derivative of sec^2(x-1) is 2tan(x)sec^2(x)