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

The derivative of sec^2(2t) is 4sec^2(2t)tan(2t)

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

The first derivative of sec^2(2t) is 4sec^2(2t)tan(2t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

sec^{2} (2 t)

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

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sec (2 t) sec (2 t) tan (2 t) \cdot 2

Simplify

2 sec (2 t) sec (2 t) tan (2 t) \cdot 2 : 4 sec^{2} (2 t) tan (2 t)

= 4 sec^{2} (2 t) tan (2 t)

\int \frac{1}{n + 1}

(6 x^{3} + 2 x + 9) (x^{2} + 6)

\frac{d}{d x} (e^{- x} + e^{- 2 x})

\frac{\partial}{\partial x} (2 e^{x})

x y^{^{'}} + y = 2 x y^{2}

What is the derivative of sec^2(2t) ?
The derivative of sec^2(2t) is 4sec^2(2t)tan(2t)
What is the first derivative of sec^2(2t) ?
The first derivative of sec^2(2t) is 4sec^2(2t)tan(2t)