The amount of time needed on an activity depends on how vigorous the activity is

You have determined that the infant is responsive and choking, What are the symptoms that can help you assess the infant's condi

Vikki [24]

If there skin turns a bluish color or ribs or chest pulled inward

3 0

3 years ago

If the urinary excretion rate of a drug such as penicillin is greater than the rate at which it is filtered at the glomerulus, h

vazorg [7]

The way it injection or swallowed it still goes to your stomach and in which it's a liquid so it goes to your urine

3 0

3 years ago

Who wants to stop bullying and spam?

Margaret [11]

I would love to, but compared to Brainly's rules and guidelines, this is counted as a spam, so please do not post anything other than school-related questions. Thank you!
~LeviOsa

6 0

3 years ago

Read 2 more answers

Which statement regarding vitamin C is true?â

Elza [17]

Answer:

The correct statement about vitamin C is the option "B".

Explanation:

Vitamin C helps with iron absorption and also helps to prevent common cold. This vitamin must be an essential part of our feeding habits and we must include it in our daily supplements.

7 0

3 years ago

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