What is the derivative of sqrt(7+6x) ?

The derivative of sqrt(7+6x) is 3/(sqrt(7+6x))

What is the first derivative of sqrt(7+6x) ?

The first derivative of sqrt(7+6x) is 3/(sqrt(7+6x))

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\frac{d}{d x} (7 + 6 x)

\frac{3}{7 + 6 x}

Solution steps

\frac{d}{d x} (7 + 6 x)

Apply the chain rule:

\frac{1}{2 7 + 6 x} \frac{d}{d x} (7 + 6 x)

= \frac{1}{2 7 + 6 x} \frac{d}{d x} (7 + 6 x)

\frac{d}{d x} (7 + 6 x) = 6

= \frac{1}{2 7 + 6 x} \cdot 6

Simplify

\frac{1}{2 7 + 6 x} \cdot 6 : \frac{3}{7 + 6 x}

= \frac{3}{7 + 6 x}

\int \frac{( 3 x ^{4} )}{x ^{2} - 2 x} d x

f (x) = 3 x^{4}, at x = - 1

\int \frac{1}{42} x d x

\frac{d}{d x} (5 x - 8)

f (x) = x^{4} - 8 x^{3} + 4, at x = - 1

What is the derivative of sqrt(7+6x) ?
The derivative of sqrt(7+6x) is 3/(sqrt(7+6x))
What is the first derivative of sqrt(7+6x) ?
The first derivative of sqrt(7+6x) is 3/(sqrt(7+6x))