Solve (t/8) t=0; (-14)t\ =18 | 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

$$(t/8)_{t=0}; (-14)t\_=18$$

Differentiate w.r.t. t

$\frac{1}{8} = 0.125$

Steps Using Definition of a Derivative

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

$$\frac{1}{8}t^{1-1}$$

Subtract $1$ from $1$.

$$\frac{1}{8}t^{0}$$

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

$$\frac{1}{8}\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$\frac{1}{8}$$

Evaluate

$\frac{t}{8}$