Does Celexa contain sulfa?

Differentiate the following functions (i) x(1+x)^3

statuscvo [17]

Answer:

$\displaystyle y' = (1 + x)^2(4x + 1)$

General Formulas and Concepts:

Algebra I

Terms/Coefficients
Functions
Function Notation
Factoring

Calculus

Derivatives

Derivative Notation

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Explanation:

Step 1: Define

Identify

y = x(1 + x)³

Step 2: Differentiate

Product Rule [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{d}{dx}[x] \cdot (1 + x)^3 + x \cdot \frac{d}{dx}[(1 + x)^3] \cdot \frac{d}{dx}[1 + x]$
Derivative Property [Addition/Subtraction]: $\displaystyle y' = \frac{d}{dx}[x] \cdot (1 + x)^3 + x \cdot \frac{d}{dx}[(1 + x)^3] \cdot (\frac{d}{dx}[1] + \frac{d}{dx}[x])$
Basic Power Rule: $\displaystyle y' = x^{1 - 1} \cdot (1 + x)^3 + x \cdot 3(1 + x)^{3 - 1} \cdot (0 + x^{1 - 1})$
Simplify: $\displaystyle y' = (1 + x)^3 + 3x(1 + x)^2$
Factor: $\displaystyle y' = (1 + x)^2 \bigg[ (1 + x) + 3x \bigg]$
Combine like terms: $\displaystyle y' = (1 + x)^2(4x + 1)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

5 0

3 years ago

A person exhibiting symptoms of impaired work performance, general fatigue, pale skin, depressed immune function, impaired cogni

kodGreya [7K]

Answer: The correct option is IRON DEFICIENCY ANAEMIA

Explanation:

Anaemia is a condition that arises when there is not enough haemoglobin available to carry sufficient oxygen from the lungs to supply the needs of the tissues. It occurs when the rate of production of mature cells entering the blood from the reb bone marrow does not keep pace with the rate of haemolysis.. Anaemia can be classified based on:

--> impaired erythrocyte production example, Iron deficiency anaemia. Or

--> increased erythrocyte loss example, haemolytic anaemia.

IRON DEFICIENCY ANAEMIA occurs when the amount of iron nutrient needed in the body system for the production of haemoglobin is decreased. The symptoms includes

- impaired work performance,

- general fatigue,

-pale skin,

- depressed immune function,

- impaired cognitive and nerve function, and impaired memory.

7 0

3 years ago

A group of vascular disorders called vasculitides cause inflammatory injury and necrosis of the blood vessel wall (vasculitis).

user100 [1]

Answer:

(medium-vessel vasculitis) Kawasaki disease.

Explanation:

The most common such condition is such that occurs at childhood I.e. Kawasaki disease. It is a necrotizing vasculitis that is characterized be a predilection for the coronary arteries.

8 0

3 years ago

Being fair doesn't have to mean applying the same rules for everyone. Please select the best answer from the choices provided. T

marta [7]

The answer would be T

4 0

3 years ago

Read 2 more answers

Can y’all plz help me?

Black_prince [1.1K]

The answer is definitely A.

3 0

3 years ago

Read 2 more answers