What is the derivative of tan(x+x^4) ?

The derivative of tan(x+x^4) is sec^2(x)+4x^3

What is the first derivative of tan(x+x^4) ?

The first derivative of tan(x+x^4) is sec^2(x)+4x^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (tan (x) + x^{4})

sec^{2} (x) + 4 x^{3}

Solution steps

\frac{d}{d x} (tan (x) + x^{4})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (tan (x)) + \frac{d}{d x} (x^{4})

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

\frac{d}{d x} (x^{4}) = 4 x^{3}

= sec^{2} (x) + 4 x^{3}

What is the derivative of tan(x+x^4) ?
The derivative of tan(x+x^4) is sec^2(x)+4x^3
What is the first derivative of tan(x+x^4) ?
The first derivative of tan(x+x^4) is sec^2(x)+4x^3