What is the derivative of-3/5000 r^3+9/50 r^2 ?

The derivative of-3/5000 r^3+9/50 r^2 is -(9r^2)/(5000)+(9r)/(25)

What is the first derivative of-3/5000 r^3+9/50 r^2 ?

The first derivative of-3/5000 r^3+9/50 r^2 is -(9r^2)/(5000)+(9r)/(25)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

- \frac{3}{5000} r^{3} + \frac{9}{50} r^{2}

- \frac{9 r ^{2}}{5000} + \frac{9 r}{25}

Solution steps

\frac{d}{d r} (- \frac{3}{5000} r^{3} + \frac{9}{50} r^{2})

Simplify

- \frac{3}{5000} r^{3} + \frac{9}{50} r^{2} : - \frac{3 r ^{3}}{5000} + \frac{9 r ^{2}}{50}

= \frac{d}{d r} (- \frac{3 r ^{3}}{5000} + \frac{9 r ^{2}}{50})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d r} (\frac{3 r ^{3}}{5000}) + \frac{d}{d r} (\frac{9 r ^{2}}{50})

\frac{d}{d r} (\frac{3 r ^{3}}{5000}) = \frac{9 r ^{2}}{5000}

\frac{d}{d r} (\frac{9 r ^{2}}{50}) = \frac{9 r}{25}

= - \frac{9 r ^{2}}{5000} + \frac{9 r}{25}

\frac{( x ^{2} - x - 2 )}{( x ^{2} - 6 x + 9 )}

x \to 9 + lim (x^{2} + 5 x + 7)

f (x) = x^{3}, (- 1, - 1)

\frac{d y}{d x} = y x

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

What is the derivative of-3/5000 r^3+9/50 r^2 ?
The derivative of-3/5000 r^3+9/50 r^2 is -(9r^2)/(5000)+(9r)/(25)
What is the first derivative of-3/5000 r^3+9/50 r^2 ?
The first derivative of-3/5000 r^3+9/50 r^2 is -(9r^2)/(5000)+(9r)/(25)