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

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

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

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

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derivative of

4 4 - y

- \frac{2}{4 - y}

Solution steps

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

Take the constant out:

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

= 4 \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

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

Simplify

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

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

\frac{\partial}{\partial w} (4 x^{3} - x y^{2} + 3 y - 7)

\int cos^{2} (3 θ) d θ

\frac{\partial}{\partial x} (e^{z^{2}} + y ln (x^{2} + 5))

\frac{d y}{d x} = \frac{y}{x} + 2 x + 3

\frac{d y}{d t} = (y + 1) (y - 3), y (0) = 1

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