Find the delivertive ofy = x²+x-1

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

2x + 1

Step-by-step explanation:

$y = {x}^{2} + x - 1 \\ \\ differentiating \: w.r.t.x \: on \: both \\ sides \\ \\ \frac{dy}{dx} = \frac{d}{dx} ({x}^{2} + x - 1) \\ \\\frac{dy}{dx} = 2x + 1 - 0\\ \\ \frac{dy}{dx} = 2x + 1 \\ \\$

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If 9/a = 7/a², then a=?

lions [1.4K]

Answer:

$\frac{7}{9}$

Step-by-step explanation:

$\frac{9}{a} = \frac{7}{a^{2}}$

$9.a^{2} = 7a$

9a = 7

a= 7/9

Hope this helps ^-^

3 0

3 years ago

Solve the inequality for x 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Factoring

Algebra II

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$