What is the derivative of 2000-4x ?

The derivative of 2000-4x is -4

What is the first derivative of 2000-4x ?

The first derivative of 2000-4x is -4

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\frac{d}{d x} (2000 - 4 x)

- 4

Solution steps

\frac{d}{d x} (2000 - 4 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2000) - \frac{d}{d x} (4 x)

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

\frac{d}{d x} (4 x) = 4

= 0 - 4

Simplify

= - 4

\int \frac{1}{16 x ^{2} + 9} d x

(x^{2} + x y) d x - x^{2} d y = 0

\frac{d}{d x} (- x cos (x) + cos (x))

y = x^{4} + 8 x^{2} - x

\int 4 \cdot sin (2 x) - 3 \cdot cos (3 x) d x