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

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

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

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

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derivative of

f (x) = 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}

\frac{7}{s ^{4}}

\int x tan^{3} (x^{2}) d x

y^{^{''}} + 6 y^{^{'}} + 6 y = 0

y^{^{'}} = 2 t, y (0) = 1

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

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