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

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

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

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

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derivative of

sec^{2} (t)

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

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sec (t) sec (t) tan (t)

Simplify

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

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

ln (x^{9})

\frac{d}{d x} (e^{x} + e^{x} \cdot x)

\int \frac{x ^{5}}{x + 1} d x

\frac{4 x}{x - 5}

y = tan (\frac{t}{1 + t ^{2}})

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