How to solve 2x ^ 3 - 4x ^ 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 2x ^ 3 - 4x ^ 3 | Equatix

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Unit Circle

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Conic Sections

Sequences & Series

Descriptive Statistics

Eigenvalues & Eigenvectors

Linear Transformations

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2x^{3}-4x^{3}$$

Differentiate w.r.t. x

$-6x^{2}$

Steps Using Definition of a Derivative

Combine $2x^{3}$ and $-4x^{3}$ to get $-2x^{3}$.

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

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

$$3\left(-2\right)x^{3-1}$$

Multiply $3$ times $-2$.

$$-6x^{3-1}$$

Subtract $1$ from $3$.

$$-6x^{2}$$

Show Solution

Evaluate

$-2x^{3}$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Differentiate w.r.t. x

Steps Using Definition of a Derivative

Evaluate

Solution Steps