What is the derivative of g(x)=sqrt(13x) ?

The derivative of g(x)=sqrt(13x) is (sqrt(13))/(2sqrt(x))

What is the first derivative of g(x)=sqrt(13x) ?

The first derivative of g(x)=sqrt(13x) is (sqrt(13))/(2sqrt(x))

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derivative of

g (x) = 13 x

\frac{13}{2 x}

Solution steps

\frac{d}{d x} (13 x)

Apply the chain rule:

\frac{1}{2 13 x} \frac{d}{d x} (13 x)

= \frac{1}{2 13 x} \frac{d}{d x} (13 x)

\frac{d}{d x} (13 x) = 13

= \frac{1}{2 13 x} \cdot 13

Simplify

\frac{1}{2 13 x} \cdot 13 : \frac{13}{2 x}

= \frac{13}{2 x}

x \to - 1 + lim (2 - x)

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

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

\frac{d y}{d x} = \frac{1 + y ^{2}}{1 + x ^{2}}

5 x^{\frac{1}{2}}

What is the derivative of g(x)=sqrt(13x) ?
The derivative of g(x)=sqrt(13x) is (sqrt(13))/(2sqrt(x))
What is the first derivative of g(x)=sqrt(13x) ?
The first derivative of g(x)=sqrt(13x) is (sqrt(13))/(2sqrt(x))