We are doing 2 step Inequalities. What is the answer?

3√x -2/x^2 please show step by step of differentiation before combining the terms.

EastWind [94]

Answer:

Step-by-step explanation:

Before we differentiate, let us assign a variable to the function. Let y be equal to the function i.e let y = 3√x -2/x²

In differentiation if $y = ax^{n}$ , then $\frac{dy}{dx} = nax^{n-1}$ where n is a constant and dy/dx means we are differentiating the function y with respect to x.

Applying the formula o the question given;

$y= 3\sqrt{x} -2/x^2\\y = 3{x}^\frac{1}{2} - 2x^{-2} \\\\$

On differentiating the resulting function;

$\frac{dy}{dx} = \frac{1}{2}*3x^{\frac{1}{2}-1 } - (-2)x^{-2-1} \\\\\frac{dy}{dx} = \frac{1}{2}*3x^{-\frac{1}{2}} + 2x^{-3}\\ \\\frac{dy}{dx} = \frac{1}{2}*{\frac{3}{x^{\frac{1}{2} } }} + \frac{2}{x^{3} } \\\\\frac{dy}{dx} = {\frac{3}{2x^{\frac{1}{2} } }} + \frac{2}{x^{3} }\\\\\frac{dy}{dx} = {\frac{3}{2\sqrt{x} }} + \frac{2}{x^{3} }$

To combine the terms, we will add up by finding their LCM.

$\frac{dy}{dx} = {\frac{3}{2\sqrt{x} }} + \frac{2}{x^{3} }\\\frac{dy}{dx} = \frac{3x^3+4\sqrt{x} }{2x^{3} \sqrt{x}}$

3 0

4 years ago

Tom and Jim are distant cousins who meet during their family Thanksgiving meal. Tom tells Jim that he has 3 kids, and the produc

Irina-Kira [14]

I'm just guessing because there isn't much data, but the ages could be:
1, 8, and 9
3, 3, and 8
1, 8, and 9
1, 6, and 12
2, 3, and 12
3, 4, and 6
2, 4, and 9
(These aren't all the possible ages)

3 0

4 years ago

PLEASE HELP ME! EXPLANATION = BRAINLIEST the area is ___ square units

Usimov [2.4K]

Answer:

50 units²

Step-by-step explanation:

Solve for both long sides:

6² + 8² = x²

36 + 64 = x²

100 = x²

x = 10

Solve for both short sides:

3² + 4² = x²

9 + 16 = x²

25 = x²

x = 5

Area:

5 x 10 = 50

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

6 0

3 years ago

Read 2 more answers

Alicia and Amy together has 1215 candy. if alicia gives amy 35 candy, then she will have 4 times as much as amy. how much candy

4vir4ik [10]

Answer:

Alicia will have 944 candies and Amy will have 271 candies.

Step-by-step explanation:

3 0

3 years ago

Four glasses of milk and 3 snack bars have a total of 82 carbohydrates (carbs), and 2 glasses of milk and 4 snack bars have a to

vredina [299]

Answer:

milk: 10 carbs
snack bar: 14 carbs

Step-by-step explanation:

Let m and s represent the carbs in the milk and snack bar, respectively. The given relations are ...

4m +3s = 82

2m +4s = 76

Subtracting the first equation from twice the second gives ...

2(2m +4s) -(4m +3s) = 2(76) -(82)

5s = 70 . . . . . . . simplify

s = 14 . . . . . . . divide by 5

We substitute this into the second equation to find m.

2m +4(14) = 76

m +28 = 38 . . . . divide by 2

m = 10 . . . . . . subtract 28

There are 10 carbs in a glass of milk; 14 carbs in a snack bar.

3 0

2 years ago