How to solve 6x ^ (2/3) =

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 6x ^ (2/3) = | Equatix

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Question

$$6x^{\frac{2}{3}}=$$

Differentiate w.r.t. x

$\frac{4}{\sqrt[3]{x}}$

Steps Using Definition of a Derivative

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$\frac{2}{3}\times 6x^{\frac{2}{3}-1}$$

Multiply $\frac{2}{3}$ times $6$.

$$4x^{\frac{2}{3}-1}$$

Subtract $1$ from $\frac{2}{3}$.

$$4x^{-\frac{1}{3}}$$

Show Solution

Evaluate

$6x^{\frac{2}{3}}$

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Example

Question

Differentiate w.r.t. x

Steps Using Definition of a Derivative

Evaluate