What is the derivative of sqrt(5-4x) ?

The derivative of sqrt(5-4x) is -2/(sqrt(5-4x))

What is the first derivative of sqrt(5-4x) ?

The first derivative of sqrt(5-4x) is -2/(sqrt(5-4x))

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\frac{d}{d x} (5 - 4 x)

- \frac{2}{5 - 4 x}

Solution steps

\frac{d}{d x} (5 - 4 x)

Apply the chain rule:

\frac{1}{2 5 - 4 x} \frac{d}{d x} (5 - 4 x)

= \frac{1}{2 5 - 4 x} \frac{d}{d x} (5 - 4 x)

\frac{d}{d x} (5 - 4 x) = - 4

= \frac{1}{2 5 - 4 x} (- 4)

Simplify

\frac{1}{2 5 - 4 x} (- 4) : - \frac{2}{5 - 4 x}

= - \frac{2}{5 - 4 x}

What is the derivative of sqrt(5-4x) ?
The derivative of sqrt(5-4x) is -2/(sqrt(5-4x))
What is the first derivative of sqrt(5-4x) ?
The first derivative of sqrt(5-4x) is -2/(sqrt(5-4x))