What is the derivative of sqrt(7x+1) ?

The derivative of sqrt(7x+1) is 7/(2sqrt(7x+1))

What is the first derivative of sqrt(7x+1) ?

The first derivative of sqrt(7x+1) is 7/(2sqrt(7x+1))

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derivative of

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}

\int_{2}^{5} 8 x^{7} d x

\int_{1}^{6} \frac{3}{x ^{2}} d x

y = - \frac{1}{5} x^{2} - \frac{6}{5} x + \frac{7}{5}, (- 5, 5)

\int e^{x} \cdot sin (2 x) d x

\frac{d}{d x} (3 5 x + 4 x^{\frac{1}{2}} - 3 x)

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