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

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

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

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

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

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

Solution steps

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

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)

\frac{\partial}{\partial x} (y^{1 - x} ln^{2} (z))

\frac{d}{d x} (c \cdot ln (x))

x \to 0 + lim (0 \cdot sin (\frac{1}{x}))

x^{3} - 4 x, 12 x

f (x) = x^{2} - 4, at x = 2

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