What is the derivative of 4sqrt(9-x) ?

The derivative of 4sqrt(9-x) is -2/(sqrt(9-x))

What is the first derivative of 4sqrt(9-x) ?

The first derivative of 4sqrt(9-x) is -2/(sqrt(9-x))

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\frac{d}{d x} (4 9 - x)

- \frac{2}{9 - x}

Solution steps

\frac{d}{d x} (4 9 - x)

Take the constant out:

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

= 4 \frac{d}{d x} (9 - x)

Apply the chain rule:

\frac{1}{2 9 - x} \frac{d}{d x} (9 - x)

= \frac{1}{2 9 - x} \frac{d}{d x} (9 - x)

\frac{d}{d x} (9 - x) = - 1

= 4 \cdot \frac{1}{2 9 - x} (- 1)

Simplify

4 \cdot \frac{1}{2 9 - x} (- 1) : - \frac{2}{9 - x}

= - \frac{2}{9 - x}

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

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

d er i v a t i v e f (x) = lo g_{2} (3 x)

in v erse l a pl a ce \frac{s - 1}{s ^{2} ( s + 3 )}

t \to a lim (t)

What is the derivative of 4sqrt(9-x) ?
The derivative of 4sqrt(9-x) is -2/(sqrt(9-x))
What is the first derivative of 4sqrt(9-x) ?
The first derivative of 4sqrt(9-x) is -2/(sqrt(9-x))