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

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

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

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

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derivative of

3 x^{2} + 2

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int \frac{x}{4 x ^{2} + 1} d x

\int e^{\frac{t}{5}} d t

\int \frac{( x + 3 )}{x ^{2} + 8 x - 9} d x

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

n = 1 \sum \infty n^{3} (1 + n^{4})

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