What is the derivative of-3sqrt(7x-1) ?

The derivative of-3sqrt(7x-1) is -(21)/(2sqrt(7x-1))

What is the first derivative of-3sqrt(7x-1) ?

The first derivative of-3sqrt(7x-1) is -(21)/(2sqrt(7x-1))

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\frac{d}{d x} (- 3 7 x - 1)

- \frac{21}{2 7 x - 1}

Solution steps

\frac{d}{d x} (- 3 7 x - 1)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 3 \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

= - 3 \cdot \frac{1}{2 7 x - 1} \cdot 7

Simplify

- 3 \cdot \frac{1}{2 7 x - 1} \cdot 7 : - \frac{21}{2 7 x - 1}

= - \frac{21}{2 7 x - 1}

\int o d o

f (t) = 1 + ln (t)

2 y y^{^{'}} + 2 = y^{2} + 2 x, y (0) = 8

\frac{\partial}{\partial v} (3 v sin (u))

\int \frac{1}{2 ^{2} + x ^{2}} d x

What is the derivative of-3sqrt(7x-1) ?
The derivative of-3sqrt(7x-1) is -(21)/(2sqrt(7x-1))
What is the first derivative of-3sqrt(7x-1) ?
The first derivative of-3sqrt(7x-1) is -(21)/(2sqrt(7x-1))