What is the derivative of f(x)=8x^{15}-6x^3+1 ?

The derivative of f(x)=8x^{15}-6x^3+1 is 120x^{14}-18x^2

What is the first derivative of f(x)=8x^{15}-6x^3+1 ?

The first derivative of f(x)=8x^{15}-6x^3+1 is 120x^{14}-18x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 8 x^{15} - 6 x^{3} + 1

120 x^{14} - 18 x^{2}

Solution steps

\frac{d}{d x} (8 x^{15} - 6 x^{3} + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x^{15}) - \frac{d}{d x} (6 x^{3}) + \frac{d}{d x} (1)

\frac{d}{d x} (8 x^{15}) = 120 x^{14}

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

\frac{d}{d x} (1) = 0

= 120 x^{14} - 18 x^{2} + 0

Simplify

= 120 x^{14} - 18 x^{2}

\frac{d y}{d t} = y^{2} - y

x^{3} - 10 x, 15 x

y^{^{'''}} + y^{^{''}} - 4 y^{^{'}} - 4 y = 0

\int_{0}^{6} (6 x + 2) d x

What is the derivative of f(x)=8x^{15}-6x^3+1 ?
The derivative of f(x)=8x^{15}-6x^3+1 is 120x^{14}-18x^2
What is the first derivative of f(x)=8x^{15}-6x^3+1 ?
The first derivative of f(x)=8x^{15}-6x^3+1 is 120x^{14}-18x^2