What is the derivative of y+6y^3 ?

The derivative of y+6y^3 is 1+18y^2

What is the first derivative of y+6y^3 ?

The first derivative of y+6y^3 is 1+18y^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y + 6 y^{3}

1 + 18 y^{2}

Solution steps

\frac{d}{d y} (y + 6 y^{3})

Apply the Sum/Difference Rule:

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

= \frac{d y}{d y} + \frac{d}{d y} (6 y^{3})

\frac{d y}{d y} = 1

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

= 1 + 18 y^{2}

f (x) = \frac{x - x ^{2}}{3 x ^{2} + 2}

\int \frac{3 x ^{2}}{5} + \frac{7 x ^{3}}{8} d x

\int - 10 x^{5} e^{x^{6}} d x

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

\int \frac{( x ^{3} - 1 )}{x ( x + 1 ) ^{2}} d x

What is the derivative of y+6y^3 ?
The derivative of y+6y^3 is 1+18y^2
What is the first derivative of y+6y^3 ?
The first derivative of y+6y^3 is 1+18y^2