Solve 1,17a-2,15a-3,25a+4,141a | 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

$$1,17a-2,15a-3,25a+4,141a$$

Evaluate

$-\frac{89a}{1000}$

Solution Steps

Combine $1,17a$ and $-2,15a$ to get $-0,98a$.

$$-0,98a-3,25a+4,141a$$

Combine $-0,98a$ and $-3,25a$ to get $-4,23a$.

$$-4,23a+4,141a$$

Combine $-4,23a$ and $4,141a$ to get $-0,089a$.

$$-0,089a$$

Differentiate w.r.t. a

$-0,089$

Steps Using Definition of a Derivative

Combine $1,17a$ and $-2,15a$ to get $-0,98a$.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-0,98a-3,25a+4,141a)$$

Combine $-0,98a$ and $-3,25a$ to get $-4,23a$.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-4,23a+4,141a)$$

Combine $-4,23a$ and $4,141a$ to get $-0,089a$.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-0,089a)$$

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

$$-0,089a^{1-1}$$

Subtract $1$ from $1$.

$$-0,089a^{0}$$

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

$$-0,089$$