What is the derivative of y=3x^7 ?

The derivative of y=3x^7 is 21x^6

What is the first derivative of y=3x^7 ?

The first derivative of y=3x^7 is 21x^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

y = 3 x^{7}

21 x^{6}

Solution steps

\frac{d}{d x} (3 x^{7})

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 \cdot 7 x^{7 - 1}

Simplify

= 21 x^{6}

d er i v a t i v e 2 y^{2} + 1

\frac{d}{d t} (a (cos (t) + lo g_{10} (\frac{tan ( t )}{2})))

d er i v a t i v e \frac{( 1 + x )}{( 1 + x ^{2} )}

d er i v a t i v e \frac{x + 1}{2 x - 1}

d er i v a t i v e sin (y^{2})

What is the derivative of y=3x^7 ?
The derivative of y=3x^7 is 21x^6
What is the first derivative of y=3x^7 ?
The first derivative of y=3x^7 is 21x^6