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

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

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

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

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Popular >

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

- \frac{2}{4 - x}

Solution steps

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

Take the constant out:

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

= 4 \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

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

Simplify

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

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

f (x) = - x^{2} + 25, at x = - 4

\frac{10 x + 1}{x + 100}

7^{x^{7}}

x \to - 1 lim (- x^{2} + 3)

\frac{d y}{d t} - 3 y = t e^{2 t}

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