What is the derivative of f(x)=sqrt(3x^2-7) ?

The derivative of f(x)=sqrt(3x^2-7) is (3x)/(sqrt(3x^2-7))

What is the first derivative of f(x)=sqrt(3x^2-7) ?

The first derivative of f(x)=sqrt(3x^2-7) is (3x)/(sqrt(3x^2-7))

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derivative of

f (x) = 3 x^{2} - 7

\frac{3 x}{3 x ^{2} - 7}

Solution steps

\frac{d}{d x} (3 x^{2} - 7)

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2} - 7) = 6 x

= \frac{1}{2 3 x ^{2} - 7} \cdot 6 x

Simplify

\frac{1}{2 3 x ^{2} - 7} \cdot 6 x : \frac{3 x}{3 x ^{2} - 7}

= \frac{3 x}{3 x ^{2} - 7}

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What is the derivative of f(x)=sqrt(3x^2-7) ?
The derivative of f(x)=sqrt(3x^2-7) is (3x)/(sqrt(3x^2-7))
What is the first derivative of f(x)=sqrt(3x^2-7) ?
The first derivative of f(x)=sqrt(3x^2-7) is (3x)/(sqrt(3x^2-7))