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3 years ago

Find the indicated derivative If f(x) = x^3 , find f’(-4)

Mathematics

1 answer:

babunello [35]3 years ago

7 0

Answer:

Step-by-step explanation:

f(x) = x³

f'(x) = 3x²

f'(-4) = 3(-4)²

f'(-4) = 48

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What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)?

Alexandra [31]

Answer:

The quotient of (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)

is 2x2 + 5x + 2.

Step-by-step explanation:

6 0

2 years ago

Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.)

Liono4ka [1.6K]

Answer:

The answer is "0".

Step-by-step explanation:

Please find the correct question in the attached file.

Given value:

$\to f(x) =\frac{x^2}{x^2+5}\\\\$

Formula:

$\bold{\frac{d}{dx} \frac{u}{v} = \frac{ v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}}$

$\to f'(x) =\frac{(x^2+5) 2x -2x^3 (2x)}{(x^2+5)^2}\\\\\to f'(0) =\frac{(0^2+5)2(0) -4(0)^4}{(0^2+5)^2}\\\\\to f'(0) =\frac{(0)(5) -2(0)}{(5)^2}\\\\\to f'(0) =\frac{0 - 0}{(5)^2}\\\\\to f'(0) =\frac{0}{25}\\\\\to f'(0) = 0$

6 0

3 years ago

Write this equation in standard form<br> y + 4 = 2/3 (x+7)

Karo-lina-s [1.5K]

Answer:

$y=\frac{2}{3}x+\frac{2}{3}$

Step-by-step explanation:

The standard equation of a straight line is of the form:

$y=mx+c$

We have to convert the given equation into above form.

Simplifying the given equation:

$y=\frac{2}{3}x+\frac{14}{3}-4$

$=\frac{2}{3}x+\frac{(14-12)}{3}$

$=\frac{2}{3}x+\frac{2}{3}$ .- This is in standard form

where $m=c=\frac{2}{3}$

5 0

3 years ago

Read 2 more answers

The sum of two numbers is 46. The larger number is two less than three times the smaller number. Find the numbers.‍♀️

Alex787 [66]

Answer:

Smaller number: 12

Larger number: 34

Step-by-step explanation:

Let x represent the smaller number.

Let 3x - 2 represent the larger number (The larger number is two less than three times the smaller number, or x)

x + 3x -2 = 46

Add 3x + x:

4x - 2 = 46

Add 2 to both sides:

4x = 46 + 2

Add 46 + 2:

4x = 48

Divide both sides by 4:

4x/4 = 48/4

x = 12 is the smaller number

Since 12 is the smaller number, and the sum of the two numbers is 46, than the larger number must be 34.

I hope this helped you. If it did, please consider, rating, pressing thanks and/or giving my answer 'Brainliest.' Have a great day! :)

6 0

3 years ago

What is the value of the expression: 2 - (3x + 5y) if x = -3 and y = 4?

WARRIOR [948]

<h3>Hello there today we will solve your problem</h3>

here is our equation,

$2-(3x+5y)$ ,

Now we will plug in our numbers

__________________

${\boxed{x=-3}}$
${\boxed{y=4}$

__________________

$2-(3\cdot-3+5\cdot4)$

simplify it and we get

$2-(-9+20)$

$2-11$

$-9$

7 0

2 years ago

Read 2 more answers