What is the derivative of f(x)=sqrt(7x-1) ?

The derivative of f(x)=sqrt(7x-1) is 7/(2sqrt(7x-1))

What is the first derivative of f(x)=sqrt(7x-1) ?

The first derivative of f(x)=sqrt(7x-1) is 7/(2sqrt(7x-1))

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derivative of

f (x) = 7 x - 1

\frac{7}{2 7 x - 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

y^{^{''}} + 4 y^{^{'}} + 6 y = 0

\int_{- 1}^{1} (x^{2} + 1) d x

y = ln (\frac{e ^{x}}{e ^{x} - 1})

- 4 x^{2} - 7 x

f (4) = 10 x - 13

What is the derivative of f(x)=sqrt(7x-1) ?
The derivative of f(x)=sqrt(7x-1) is 7/(2sqrt(7x-1))
What is the first derivative of f(x)=sqrt(7x-1) ?
The first derivative of f(x)=sqrt(7x-1) is 7/(2sqrt(7x-1))