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

The derivative of sqrt(7x+3) is 7/(2sqrt(7x+3))

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

The first derivative of sqrt(7x+3) is 7/(2sqrt(7x+3))

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\frac{d}{d x} (7 x + 3)

\frac{7}{2 7 x + 3}

Solution steps

\frac{d}{d x} (7 x + 3)

Apply the chain rule:

\frac{1}{2 7 x + 3} \frac{d}{d x} (7 x + 3)

= \frac{1}{2 7 x + 3} \frac{d}{d x} (7 x + 3)

\frac{d}{d x} (7 x + 3) = 7

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

Simplify

\frac{1}{2 7 x + 3} \cdot 7 : \frac{7}{2 7 x + 3}

= \frac{7}{2 7 x + 3}

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

n \to \infty lim (\frac{3 n ^{0.4 + 1} + 7 n}{3 n ^{0.4} + 7 n})

y^{^{''}} + 5 y^{^{'}} = e^{- t}, y (0) = - 0, y^{^{'}} (0) = 1

\int \frac{- y}{cot ( x )} d x

y^{^{''}} + 2 y^{^{'}} - 24 y = 0

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