What is the derivative of sqrt(7x) ?

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

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

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

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derivative of

7 x

\frac{7}{2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{7}{2 x}

\frac{\partial}{\partial y} (- 4 x^{3} y)

\frac{d}{d x} (3 d x)

\frac{\partial}{\partial z} (ln (\frac{x y}{y ^{2} + z ^{2}}))

y^{2} = x, y = x - 2

\frac{d}{d x} (x + y + e^{x y})

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