How to solve (x)^(3)(1)/(125)

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 (x)^(3)(1)/(125) | Equatix

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Question

$${ x }^{ 3 } \frac{ 1 }{ 125 }$$

Differentiate w.r.t. x

$\frac{3x^{2}}{125}$

Steps Using Definition of a Derivative

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

$$3\times \frac{1}{125}x^{3-1}$$

Multiply $3$ times $\frac{1}{125}$.

$$\frac{3}{125}x^{3-1}$$

Subtract $1$ from $3$.

$$\frac{3}{125}x^{2}$$

Show Solution

Evaluate

$\frac{x^{3}}{125}$

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Example

Question

Differentiate w.r.t. x

Steps Using Definition of a Derivative

Evaluate