What is (\partial)/(\partial x)(sqrt(1+3x)) ?

The answer to (\partial)/(\partial x)(sqrt(1+3x)) is 3/(2sqrt(1+3x))

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(\partial)/(\partial x)(sqrt(1+3x))

\frac{\partial}{\partial x} (1 + 3 x)

\frac{3}{2 1 + 3 x}

Solution steps

\frac{\partial}{\partial x} (1 + 3 x)

Apply the chain rule:

\frac{1}{2 1 + 3 x} \frac{\partial}{\partial x} (1 + 3 x)

= \frac{1}{2 1 + 3 x} \frac{\partial}{\partial x} (1 + 3 x)

\frac{\partial}{\partial x} (1 + 3 x) = 3

= \frac{1}{2 1 + 3 x} \cdot 3

Simplify

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

= \frac{3}{2 1 + 3 x}

x \cdot d y = (x + y) \cdot d x

\frac{( x - ln ( 1 + x ) )}{x ^{2}}

x \to - 5 lim (\frac{x ^{2} - 6}{5 - x})

y = x + \frac{3}{x}, (3, 4)

\frac{\partial}{\partial y} (- x y sin (x) + 2 y cos (x))

What is (\partial)/(\partial x)(sqrt(1+3x)) ?
The answer to (\partial)/(\partial x)(sqrt(1+3x)) is 3/(2sqrt(1+3x))