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^{^{'}} = \frac{x}{1 + 2 y}, y (- 1) = 0

f (x) = \frac{π}{3}

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

(x, y) \to (0, 0) lim (e^{x y})

\frac{d}{d x} ((17 - (13 - 2 x^{4})^{7})^{3})

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))