en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(8-x^2-y^2)

Solution

\frac{\partial}{\partial x} (8 - x^{2} - y^{2})

Solution

- 2 x

Solution steps

\frac{\partial}{\partial x} (8 - x^{2} - y^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (8) - \frac{\partial}{\partial x} (x^{2}) - \frac{\partial}{\partial x} (y^{2})

\frac{\partial}{\partial x} (8) = 0

\frac{\partial}{\partial x} (x^{2}) = 2 x

\frac{\partial}{\partial x} (y^{2}) = 0

= 0 - 2 x - 0

Simplify

= - 2 x

Popular Examples

24y^{''}-2y^'-15y=0

24 y^{^{''}} - 2 y^{^{'}} - 15 y = 0

d/(dt)(cos^2(e^{cos^2(t)}))

\frac{d}{d t} (cos^{2} (e^{c o s^{2} (t)}))

limit as x approaches-2 of 5x^2

x \to - 2 lim (5 x^{2})

(dy)/(dx)=(cos(16x))/(e^{16y)}

\frac{d y}{d x} = \frac{cos ( 16 x )}{e ^{16 y}}

derivative of tan(xsec^2(x))

\frac{d}{d x} (tan (x) sec^{2} (x))

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial x)(8-x^2-y^2) ?
The answer to (\partial)/(\partial x)(8-x^2-y^2) is -2x