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2 years ago

What are the tools of monetary policy?

1 answer:

5 0

The Fed can use four tools to achieve its monetary policy goals: the discount rate, reserve requirements, open market operations, and interest on reserves.

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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

2 years ago

REAL ANWSERS IF YOU SPAM ME I WILL REPORT YOU

sleet_krkn [62]

Answer:

... It is asking for your family. All of our answers would be different.

Explanation:

8 0

2 years ago

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What type of physical activity would an aerobics class be?

balu736 [363]

Answer:

vigorous is the answer

7 0

2 years ago

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medicine can serve all the following pupose except? A.)preventing diease B.) relieving pain C.) making a person lose weight D.)f

MAXImum [283]

Answer:

Medicine can serve some purpose such as preventing disease, relieving pain, and fighting illness. Nevertheless, medicine cannot make a person lose weight. The answer is C

Explanation:

It is only some specific medicines with that purpose, to make a person lose weight. But not all of medicines made with that purpose.

4 0

2 years ago

How can you loose belly fat in 1 week? Sorry bout this question about belly fat.

liq [111]

Yes u can .
you can loose a lot of fat in just 1 week

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2 years ago

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