What is (\partial)/(\partial x)(3000+(400)/(x+3)) ?

The answer to (\partial)/(\partial x)(3000+(400)/(x+3)) is -(400)/((x+3)^2)

(\partial)/(\partial x)(3000+(400)/(x+3))

\frac{\partial}{\partial x} (3000 + \frac{400}{x + 3})

- \frac{400}{( x + 3 ) ^{2}}

Solution steps

\frac{\partial}{\partial x} (3000 + \frac{400}{x + 3})

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (3000) + \frac{\partial}{\partial x} (\frac{400}{x + 3})

\frac{\partial}{\partial x} (3000) = 0

\frac{\partial}{\partial x} (\frac{400}{x + 3}) = - \frac{400}{( x + 3 ) ^{2}}

= 0 - \frac{400}{( x + 3 ) ^{2}}

Simplify

= - \frac{400}{( x + 3 ) ^{2}}

\frac{d}{d x} (\frac{x}{x ^{2} + 169})

d er i v a t i v e y = x^{x^{3}}

\int \frac{4 x ^{2} + 4 x}{2 x - 1} d x

\int \frac{2 e ^{x}}{1 - e ^{2 x}} d x

d er i v a t i v e 9 x^{2} sin (x) tan (x)

What is (\partial)/(\partial x)(3000+(400)/(x+3)) ?
The answer to (\partial)/(\partial x)(3000+(400)/(x+3)) is -(400)/((x+3)^2)