What is the derivative of sqrt(7+5x) ?

The derivative of sqrt(7+5x) is 5/(2sqrt(7+5x))

What is the first derivative of sqrt(7+5x) ?

The first derivative of sqrt(7+5x) is 5/(2sqrt(7+5x))

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\frac{d}{d x} (7 + 5 x)

\frac{5}{2 7 + 5 x}

Solution steps

\frac{d}{d x} (7 + 5 x)

Apply the chain rule:

\frac{1}{2 7 + 5 x} \frac{d}{d x} (7 + 5 x)

= \frac{1}{2 7 + 5 x} \frac{d}{d x} (7 + 5 x)

\frac{d}{d x} (7 + 5 x) = 5

= \frac{1}{2 7 + 5 x} \cdot 5

Simplify

\frac{1}{2 7 + 5 x} \cdot 5 : \frac{5}{2 7 + 5 x}

= \frac{5}{2 7 + 5 x}

What is the derivative of sqrt(7+5x) ?
The derivative of sqrt(7+5x) is 5/(2sqrt(7+5x))
What is the first derivative of sqrt(7+5x) ?
The first derivative of sqrt(7+5x) is 5/(2sqrt(7+5x))