What is the derivative of f(x)=1000-x-1/8 x^2 ?

The derivative of f(x)=1000-x-1/8 x^2 is -x/4-1

What is the first derivative of f(x)=1000-x-1/8 x^2 ?

The first derivative of f(x)=1000-x-1/8 x^2 is -x/4-1

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derivative of

f (x) = 1000 - x - \frac{1}{8} x^{2}

- \frac{x}{4} - 1

Solution steps

\frac{d}{d x} (1000 - x - \frac{1}{8} x^{2})

Simplify

1000 - x - \frac{1}{8} x^{2} : 1000 - x - \frac{x ^{2}}{8}

= \frac{d}{d x} (1000 - x - \frac{x ^{2}}{8})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1000) - \frac{d x}{d x} - \frac{d}{d x} (\frac{x ^{2}}{8})

\frac{d}{d x} (1000) = 0

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

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

= 0 - 1 - \frac{x}{4}

Simplify

= - \frac{x}{4} - 1

f (x) = x - 3

y^{^{''}} + 4 y^{^{'}} + 8 y = 325 e^{2 t} cos (5 t)

\int 2 y x d x

\frac{d}{d x} (\frac{x + 1}{x ^{2} - 3})

\frac{\partial}{\partial x} (x^{2} cos (y))

What is the derivative of f(x)=1000-x-1/8 x^2 ?
The derivative of f(x)=1000-x-1/8 x^2 is -x/4-1
What is the first derivative of f(x)=1000-x-1/8 x^2 ?
The first derivative of f(x)=1000-x-1/8 x^2 is -x/4-1