What is the derivative of sqrt(7-10x) ?

The derivative of sqrt(7-10x) is -5/(sqrt(7-10x))

What is the first derivative of sqrt(7-10x) ?

The first derivative of sqrt(7-10x) is -5/(sqrt(7-10x))

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\frac{d}{d x} (7 - 10 x)

- \frac{5}{7 - 10 x}

Solution steps

\frac{d}{d x} (7 - 10 x)

Apply the chain rule:

\frac{1}{2 7 - 10 x} \frac{d}{d x} (7 - 10 x)

= \frac{1}{2 7 - 10 x} \frac{d}{d x} (7 - 10 x)

\frac{d}{d x} (7 - 10 x) = - 10

= \frac{1}{2 7 - 10 x} (- 10)

Simplify

\frac{1}{2 7 - 10 x} (- 10) : - \frac{5}{7 - 10 x}

= - \frac{5}{7 - 10 x}

What is the derivative of sqrt(7-10x) ?
The derivative of sqrt(7-10x) is -5/(sqrt(7-10x))
What is the first derivative of sqrt(7-10x) ?
The first derivative of sqrt(7-10x) is -5/(sqrt(7-10x))