What is (\partial)/(\partial x)(4x^2+9y^2-45) ?

The answer to (\partial)/(\partial x)(4x^2+9y^2-45) is 8x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(4x^2+9y^2-45)

\frac{\partial}{\partial x} (4 x^{2} + 9 y^{2} - 45)

8 x

Solution steps

\frac{\partial}{\partial x} (4 x^{2} + 9 y^{2} - 45)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4 x^{2}) + \frac{\partial}{\partial x} (9 y^{2}) - \frac{\partial}{\partial x} (45)

\frac{\partial}{\partial x} (4 x^{2}) = 8 x

\frac{\partial}{\partial x} (9 y^{2}) = 0

\frac{\partial}{\partial x} (45) = 0

= 8 x + 0 - 0

Simplify

= 8 x

\frac{\partial}{\partial x} ((4 x y - 7)^{2})

\frac{d}{d x} (\frac{- 2}{( 6 x - 7 x ^{4} ) ^{3}})

\int (\frac{8}{x} + 8 x) d x

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

f (x) = x + \frac{9}{x}

What is (\partial)/(\partial x)(4x^2+9y^2-45) ?
The answer to (\partial)/(\partial x)(4x^2+9y^2-45) is 8x