What is the derivative of 3x^7-7x^3+21x^2 ?

The derivative of 3x^7-7x^3+21x^2 is 21x^6-21x^2+42x

What is the first derivative of 3x^7-7x^3+21x^2 ?

The first derivative of 3x^7-7x^3+21x^2 is 21x^6-21x^2+42x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (3 x^{7} - 7 x^{3} + 21 x^{2})

21 x^{6} - 21 x^{2} + 42 x

Solution steps

\frac{d}{d x} (3 x^{7} - 7 x^{3} + 21 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{7}) - \frac{d}{d x} (7 x^{3}) + \frac{d}{d x} (21 x^{2})

\frac{d}{d x} (3 x^{7}) = 21 x^{6}

\frac{d}{d x} (7 x^{3}) = 21 x^{2}

\frac{d}{d x} (21 x^{2}) = 42 x

= 21 x^{6} - 21 x^{2} + 42 x

\int 9 sec^{4} (x) d x

\frac{d}{d x} (5 x^{4} - 3 x^{2} + \frac{1}{x} - 7)

\int \frac{1}{3 + 3 cos ( x )} d x

\frac{\partial}{\partial x} (ln (x cos (y)))

What is the derivative of 3x^7-7x^3+21x^2 ?
The derivative of 3x^7-7x^3+21x^2 is 21x^6-21x^2+42x
What is the first derivative of 3x^7-7x^3+21x^2 ?
The first derivative of 3x^7-7x^3+21x^2 is 21x^6-21x^2+42x