What is the derivative of x(-1/10 x+610) ?

The derivative of x(-1/10 x+610) is -x/5+610

What is the first derivative of x(-1/10 x+610) ?

The first derivative of x(-1/10 x+610) is -x/5+610

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\frac{d}{d x} (x (- \frac{1}{10} x + 610))

- \frac{x}{5} + 610

Solution steps

\frac{d}{d x} (x (- \frac{1}{10} x + 610))

Simplify

x (- \frac{1}{10} x + 610) : x (- \frac{x}{10} + 610)

= \frac{d}{d x} (x (- \frac{x}{10} + 610))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = - \frac{x}{10} + 610

= \frac{d x}{d x} (- \frac{x}{10} + 610) + \frac{d}{d x} (- \frac{x}{10} + 610) x

\frac{d x}{d x} = 1

\frac{d}{d x} (- \frac{x}{10} + 610) = - \frac{1}{10}

= 1 \cdot (- \frac{x}{10} + 610) + (- \frac{1}{10}) x

Simplify

1 \cdot (- \frac{x}{10} + 610) + (- \frac{1}{10}) x : - \frac{x}{5} + 610

= - \frac{x}{5} + 610

x \to 1 lim (2^{0})

\int_{2}^{3} 1 d x

\frac{x ^{2} - 9}{x - 3}

\frac{( s + 7 )}{s ^{2} + 11 s + 30}

\frac{d}{d x} (\frac{x ^{n}}{n ^{2}})

What is the derivative of x(-1/10 x+610) ?
The derivative of x(-1/10 x+610) is -x/5+610
What is the first derivative of x(-1/10 x+610) ?
The first derivative of x(-1/10 x+610) is -x/5+610