What is the derivative of tan^2(5x) ?

The derivative of tan^2(5x) is 10sec^2(5x)tan(5x)

What is the first derivative of tan^2(5x) ?

The first derivative of tan^2(5x) is 10sec^2(5x)tan(5x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

tan^{2} (5 x)

10 sec^{2} (5 x) tan (5 x)

Solution steps

\frac{d}{d x} (tan^{2} (5 x))

Apply the chain rule:

2 tan (5 x) \frac{d}{d x} (tan (5 x))

= 2 tan (5 x) \frac{d}{d x} (tan (5 x))

\frac{d}{d x} (tan (5 x)) = sec^{2} (5 x) \cdot 5

= 2 tan (5 x) sec^{2} (5 x) \cdot 5

Simplify

= 10 sec^{2} (5 x) tan (5 x)

\int_{1}^{2} x 7^{x^{2}} d x

\int t^{2} + 2 t + 1 d t

ln (10)

(x + 3)^{3}

- x + 2, 4 - x^{2}

What is the derivative of tan^2(5x) ?
The derivative of tan^2(5x) is 10sec^2(5x)tan(5x)
What is the first derivative of tan^2(5x) ?
The first derivative of tan^2(5x) is 10sec^2(5x)tan(5x)