Solve 3x-18-2x+8 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

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

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$3x-18-2x+8$$

Evaluate

$x-10$

Differentiate w.r.t. x

$1$

Steps Using Derivative Rule for Sum

Combine $3x$ and $-2x$ to get $x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-18+8)$$

Add $-18$ and $8$ to get $-10$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-10)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.

$$x^{1-1}$$

Subtract $1$ from $1$.

$$x^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$1$$