What is the derivative of y^3(x^2+2) ?

The derivative of y^3(x^2+2) is 3y^2(x^2+2)

What is the first derivative of y^3(x^2+2) ?

The first derivative of y^3(x^2+2) is 3y^2(x^2+2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y^{3} (x^{2} + 2)

3 y^{2} (x^{2} + 2)

Solution steps

\frac{d}{d y} (y^{3} (x^{2} + 2))

Treat

x

as a constant

Take the constant out:

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

= (x^{2} + 2) \frac{d}{d y} (y^{3})

Apply the Power Rule:

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

= (x^{2} + 2) \cdot 3 y^{3 - 1}

Simplify

= 3 y^{2} (x^{2} + 2)

y = 5^{9 x - 5}

1 + cos (x)

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

e^{5} x

6 x^{2} + 5

What is the derivative of y^3(x^2+2) ?
The derivative of y^3(x^2+2) is 3y^2(x^2+2)
What is the first derivative of y^3(x^2+2) ?
The first derivative of y^3(x^2+2) is 3y^2(x^2+2)