en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(4x^3y^3+4)

Solution

\frac{\partial}{\partial x} (4 x^{3} y^{3} + 4)

Solution

12 x^{2} y^{3}

Solution steps

\frac{\partial}{\partial x} (4 x^{3} y^{3} + 4)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4 x^{3} y^{3}) + \frac{\partial}{\partial x} (4)

\frac{\partial}{\partial x} (4 x^{3} y^{3}) = 12 y^{3} x^{2}

\frac{\partial}{\partial x} (4) = 0

= 12 y^{3} x^{2} + 0

Simplify

= 12 x^{2} y^{3}

Popular Examples

tangent of f(x)=4x^3-42x^2+146x+48 tangent of

f (x) = 4 x^{3} - 42 x^{2} + 146 x + 48

d/(dt)(4sin(2t))

\frac{d}{d t} (4 sin (2 t))

integral of (3x)/((x^2+5)^2)

\int \frac{3 x}{( x ^{2} + 5 ) ^{2}} d x

derivative of (11-11x/(7x^{3/7)})

\frac{d}{d x} (\frac{11 - 11 x}{7 x ^{\frac{3}{7}}})

(\partial)/(\partial v)(1/v)

\frac{\partial}{\partial v} (\frac{1}{v})

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial x)(4x^3y^3+4) ?
The answer to (\partial)/(\partial x)(4x^3y^3+4) is 12x^2y^3