What is the derivative of sec^2(θ) ?

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

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

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

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derivative of

sec^{2} (θ)

2 sec^{2} (θ) tan (θ)

Solution steps

\frac{d}{d θ} (sec^{2} (θ))

Apply the chain rule:

2 sec (θ) \frac{d}{d θ} (sec (θ))

= 2 sec (θ) \frac{d}{d θ} (sec (θ))

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

= 2 sec (θ) sec (θ) tan (θ)

Simplify

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

= 2 sec^{2} (θ) tan (θ)

\frac{d}{d x} (\frac{cos ( x )}{x ^{6}})

\frac{1}{2 - x}

\int (1 + x + e^{x}) d x

f (z) = tan (e^{- 6 z})

\frac{d}{d x} (sin^{4} (2 x + 3))

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