What is the derivative of 3sqrt(4-x) ?

The derivative of 3sqrt(4-x) is -3/(2sqrt(4-x))

What is the first derivative of 3sqrt(4-x) ?

The first derivative of 3sqrt(4-x) is -3/(2sqrt(4-x))

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\frac{d}{d x} (3 4 - x)

- \frac{3}{2 4 - x}

Solution steps

\frac{d}{d x} (3 4 - x)

Take the constant out:

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

= 3 \frac{d}{d x} (4 - x)

Apply the chain rule:

\frac{1}{2 4 - x} \frac{d}{d x} (4 - x)

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

\frac{d}{d x} (4 - x) = - 1

= 3 \cdot \frac{1}{2 4 - x} (- 1)

Simplify

3 \cdot \frac{1}{2 4 - x} (- 1) : - \frac{3}{2 4 - x}

= - \frac{3}{2 4 - x}

\frac{d r}{d t} = - 4 r t

6 π r^{2}

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

\int \frac{- 3 x ^{3} + 2 x ^{2} - 28 x + 10}{x ^{2} + 9} d x

\frac{d}{d x} (y^{2} - x)

What is the derivative of 3sqrt(4-x) ?
The derivative of 3sqrt(4-x) is -3/(2sqrt(4-x))
What is the first derivative of 3sqrt(4-x) ?
The first derivative of 3sqrt(4-x) is -3/(2sqrt(4-x))