What is the derivative of f(x)=(-x^2)/(200) ?

The derivative of f(x)=(-x^2)/(200) is -x/(100)

What is the first derivative of f(x)=(-x^2)/(200) ?

The first derivative of f(x)=(-x^2)/(200) is -x/(100)

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derivative of

f (x) = \frac{- x ^{2}}{200}

- \frac{x}{100}

Solution steps

\frac{d}{d x} (\frac{- x ^{2}}{200})

Simplify

\frac{- x ^{2}}{200} : - \frac{x ^{2}}{200}

= \frac{d}{d x} (- \frac{x ^{2}}{200})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{1}{200} \frac{d}{d x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - \frac{1}{200} \cdot 2 x^{2 - 1}

Simplify

- \frac{1}{200} \cdot 2 x^{2 - 1} : - \frac{x}{100}

= - \frac{x}{100}

\frac{d}{d x} ((x^{2} + 1) (x + 5 + \frac{1}{x}))

y = 4 x^{2}, y = 24

f (x) = 2 x^{3} - 2 x, at x = 1

x \to 0 lim (\frac{ln ( e ^{x} - x )}{x})

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

What is the derivative of f(x)=(-x^2)/(200) ?
The derivative of f(x)=(-x^2)/(200) is -x/(100)
What is the first derivative of f(x)=(-x^2)/(200) ?
The first derivative of f(x)=(-x^2)/(200) is -x/(100)