What is the derivative of f(x)=sqrt(5x) ?

The derivative of f(x)=sqrt(5x) is (sqrt(5))/(2sqrt(x))

What is the first derivative of f(x)=sqrt(5x) ?

The first derivative of f(x)=sqrt(5x) is (sqrt(5))/(2sqrt(x))

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derivative of

f (x) = 5 x

\frac{5}{2 x}

Solution steps

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

Apply the chain rule:

\frac{1}{2 5 x} \frac{d}{d x} (5 x)

= \frac{1}{2 5 x} \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= \frac{1}{2 5 x} \cdot 5

Simplify

\frac{1}{2 5 x} \cdot 5 : \frac{5}{2 x}

= \frac{5}{2 x}

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What is the derivative of f(x)=sqrt(5x) ?
The derivative of f(x)=sqrt(5x) is (sqrt(5))/(2sqrt(x))
What is the first derivative of f(x)=sqrt(5x) ?
The first derivative of f(x)=sqrt(5x) is (sqrt(5))/(2sqrt(x))