What is the derivative of 6sqrt(4x^2+3) ?

The derivative of 6sqrt(4x^2+3) is (24x)/(sqrt(4x^2+3))

What is the first derivative of 6sqrt(4x^2+3) ?

The first derivative of 6sqrt(4x^2+3) is (24x)/(sqrt(4x^2+3))

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derivative of

6 4 x^{2} + 3

\frac{24 x}{4 x ^{2} + 3}

Solution steps

\frac{d}{d x} (6 4 x^{2} + 3)

Take the constant out:

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

= 6 \frac{d}{d x} (4 x^{2} + 3)

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{2} + 3) = 8 x

= 6 \cdot \frac{1}{2 4 x ^{2} + 3} \cdot 8 x

Simplify

6 \cdot \frac{1}{2 4 x ^{2} + 3} \cdot 8 x : \frac{24 x}{4 x ^{2} + 3}

= \frac{24 x}{4 x ^{2} + 3}

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

\frac{d}{d x} (ln ((x^{2} + 4)^{5}))

x \to 4 lim (\frac{( 2 )}{x - 4})

x \to 2 - lim (\frac{2 x}{x ^{2} - 4})

y^{^{''}} + 8 y^{^{'}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = - 10

What is the derivative of 6sqrt(4x^2+3) ?
The derivative of 6sqrt(4x^2+3) is (24x)/(sqrt(4x^2+3))
What is the first derivative of 6sqrt(4x^2+3) ?
The first derivative of 6sqrt(4x^2+3) is (24x)/(sqrt(4x^2+3))