What is the derivative of 2sqrt(4-y) ?

The derivative of 2sqrt(4-y) is -1/(sqrt(4-y))

What is the first derivative of 2sqrt(4-y) ?

The first derivative of 2sqrt(4-y) is -1/(sqrt(4-y))

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derivative of

2 4 - y

- \frac{1}{4 - y}

Solution steps

\frac{d}{d y} (2 4 - y)

Take the constant out:

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

= 2 \frac{d}{d y} (4 - y)

Apply the chain rule:

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

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

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

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

Simplify

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

= - \frac{1}{4 - y}

What is the derivative of 2sqrt(4-y) ?
The derivative of 2sqrt(4-y) is -1/(sqrt(4-y))
What is the first derivative of 2sqrt(4-y) ?
The first derivative of 2sqrt(4-y) is -1/(sqrt(4-y))