What is the derivative of sqrt(3x^2-5) ?

The derivative of sqrt(3x^2-5) is (3x)/(sqrt(3x^2-5))

What is the first derivative of sqrt(3x^2-5) ?

The first derivative of sqrt(3x^2-5) is (3x)/(sqrt(3x^2-5))

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\frac{d}{d x} (3 x^{2} - 5)

\frac{3 x}{3 x ^{2} - 5}

Solution steps

\frac{d}{d x} (3 x^{2} - 5)

Apply the chain rule:

\frac{1}{2 3 x ^{2} - 5} \frac{d}{d x} (3 x^{2} - 5)

= \frac{1}{2 3 x ^{2} - 5} \frac{d}{d x} (3 x^{2} - 5)

\frac{d}{d x} (3 x^{2} - 5) = 6 x

= \frac{1}{2 3 x ^{2} - 5} \cdot 6 x

Simplify

\frac{1}{2 3 x ^{2} - 5} \cdot 6 x : \frac{3 x}{3 x ^{2} - 5}

= \frac{3 x}{3 x ^{2} - 5}

\int x^{2} (e^{- x}) d x

x \to - 1 f lim (x)

g (x) = x^{2}, g (x) = x^{k} 0, 1

\int \frac{y}{y - 1} d y

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

What is the derivative of sqrt(3x^2-5) ?
The derivative of sqrt(3x^2-5) is (3x)/(sqrt(3x^2-5))
What is the first derivative of sqrt(3x^2-5) ?
The first derivative of sqrt(3x^2-5) is (3x)/(sqrt(3x^2-5))