What is the derivative of f(x)=sqrt(6x+1) ?

The derivative of f(x)=sqrt(6x+1) is 3/(sqrt(6x+1))

What is the first derivative of f(x)=sqrt(6x+1) ?

The first derivative of f(x)=sqrt(6x+1) is 3/(sqrt(6x+1))

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derivative of

f (x) = 6 x + 1

\frac{3}{6 x + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{3}{6 x + 1}

\frac{d}{d x} (2 3^{x})

r (x) = sin (x^{2}) + \frac{1 - x}{1 + x}

3 arctan (x - 1 + x^{2})

o

\int (3 x^{2} - \frac{1}{x ^{2}}) d x

What is the derivative of f(x)=sqrt(6x+1) ?
The derivative of f(x)=sqrt(6x+1) is 3/(sqrt(6x+1))
What is the first derivative of f(x)=sqrt(6x+1) ?
The first derivative of f(x)=sqrt(6x+1) is 3/(sqrt(6x+1))