What is the derivative of 10sqrt(0.6x+7) ?

The derivative of 10sqrt(0.6x+7) is 3/(sqrt(0.6x+7))

What is the first derivative of 10sqrt(0.6x+7) ?

The first derivative of 10sqrt(0.6x+7) is 3/(sqrt(0.6x+7))

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\frac{d}{d x} (10 0.6 x + 7)

\frac{3}{0.6 x + 7}

Solution steps

\frac{d}{d x} (10 0.6 x + 7)

Take the constant out:

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

= 10 \frac{d}{d x} (0.6 x + 7)

Apply the chain rule:

\frac{1}{2 0.6 x + 7} \frac{d}{d x} (0.6 x + 7)

= \frac{1}{2 0.6 x + 7} \frac{d}{d x} (0.6 x + 7)

\frac{d}{d x} (0.6 x + 7) = 0.6

= 10 \cdot \frac{1}{2 0.6 x + 7} \cdot 0.6

Simplify

10 \cdot \frac{1}{2 0.6 x + 7} \cdot 0.6 : \frac{3}{0.6 x + 7}

= \frac{3}{0.6 x + 7}

What is the derivative of 10sqrt(0.6x+7) ?
The derivative of 10sqrt(0.6x+7) is 3/(sqrt(0.6x+7))
What is the first derivative of 10sqrt(0.6x+7) ?
The first derivative of 10sqrt(0.6x+7) is 3/(sqrt(0.6x+7))