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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sec (x) sec (x) tan (x)

Simplify

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

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

\int_{0}^{1} \frac{1}{( x + 1 ) ( x - 2 )} d x

\int \frac{x ^{2} - a ^{2}}{x} d x

\frac{\partial}{\partial y} (cos (x^{2}) sin (yz))

\frac{d y}{d x} = \frac{y ^{2} + 4 x x ^{2} + y ^{2}}{x y}

f (x) = \frac{1}{x ^{5}}

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