What is the first derivative of 200x ?

The first derivative of 200x is 200

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derivative of 200x

\frac{d}{d x} (200 x)

200

Solution steps

\frac{d}{d x} (200 x)

Take the constant out:

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

= 200 \frac{d x}{d x}

Apply the common derivative:

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

= 200 \cdot 1

Simplify

= 200

\frac{d}{d x} ((x^{- \frac{1}{2}} + 2 x) (7 - x^{- 1}))

f (x) = - 4 x + 5

\frac{1}{x - 5}

y = \frac{1}{x - 6}, (5, - 1)

\int x^{- 5} + x^{\frac{1}{2}} d x