What is the derivative of sqrt(6t+8) ?

The derivative of sqrt(6t+8) is 3/(sqrt(6t+8))

What is the first derivative of sqrt(6t+8) ?

The first derivative of sqrt(6t+8) is 3/(sqrt(6t+8))

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derivative of

6 t + 8

\frac{3}{6 t + 8}

Solution steps

\frac{d}{d t} (6 t + 8)

Apply the chain rule:

\frac{1}{2 6 t + 8} \frac{d}{d t} (6 t + 8)

= \frac{1}{2 6 t + 8} \frac{d}{d t} (6 t + 8)

\frac{d}{d t} (6 t + 8) = 6

= \frac{1}{2 6 t + 8} \cdot 6

Simplify

\frac{1}{2 6 t + 8} \cdot 6 : \frac{3}{6 t + 8}

= \frac{3}{6 t + 8}

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What is the derivative of sqrt(6t+8) ?
The derivative of sqrt(6t+8) is 3/(sqrt(6t+8))
What is the first derivative of sqrt(6t+8) ?
The first derivative of sqrt(6t+8) is 3/(sqrt(6t+8))