What is the derivative of-(sqrt(1-4*z)) ?

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

What is the first derivative of-(sqrt(1-4*z)) ?

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

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derivative of

- (1 - 4 \cdot z)

\frac{2}{1 - 4 z}

Solution steps

\frac{d}{d z} (- 1 - 4 z)

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= - \frac{1}{2 1 - 4 z} (- 4)

Simplify

- \frac{1}{2 1 - 4 z} (- 4) : \frac{2}{1 - 4 z}

= \frac{2}{1 - 4 z}

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