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

The derivative of 5tan(5x) is 25sec^2(5x)

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

The first derivative of 5tan(5x) is 25sec^2(5x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

5 tan (5 x)

25 sec^{2} (5 x)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

= 25 sec^{2} (5 x)

\int \frac{2}{sec ( x ) sin ^{3} ( x )} d x

\frac{d}{d x} (4 4 - x)

f (x) = - x^{2} + 25, at x = - 4

\frac{10 x + 1}{x + 100}

7^{x^{7}}

What is the derivative of 5tan(5x) ?
The derivative of 5tan(5x) is 25sec^2(5x)
What is the first derivative of 5tan(5x) ?
The first derivative of 5tan(5x) is 25sec^2(5x)