What is the derivative of 2000+2x-0.0001x^2 ?

The derivative of 2000+2x-0.0001x^2 is -0.0002x+2

What is the first derivative of 2000+2x-0.0001x^2 ?

The first derivative of 2000+2x-0.0001x^2 is -0.0002x+2

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derivative of

2000 + 2 x - 0.0001 x^{2}

- 0.0002 x + 2

Solution steps

\frac{d}{d x} (2000 + 2 x - 0.0001 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2000) + \frac{d}{d x} (2 x) - \frac{d}{d x} (0.0001 x^{2})

\frac{d}{d x} (2000) = 0

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (0.0001 x^{2}) = 0.0002 x

= 0 + 2 - 0.0002 x

Simplify

= - 0.0002 x + 2

h \to 0 lim (\frac{sin ( π + h )}{h})

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

\int x os (8 x^{2} + π) d x

\frac{d}{d x} ((x^{2} + 4 x + 6)^{5})

\int 24

What is the derivative of 2000+2x-0.0001x^2 ?
The derivative of 2000+2x-0.0001x^2 is -0.0002x+2
What is the first derivative of 2000+2x-0.0001x^2 ?
The first derivative of 2000+2x-0.0001x^2 is -0.0002x+2