3 years ago

What would this expression be when simplified

Mathematics

1 answer:

spin [16.1K]3 years ago

6 0

Answer:

The first one is the answer

Step-by-step explanation:

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Differentiate Vx(x + 2) with respect to x.

Travka [436]

Answer:

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

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

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

Step-by-step explanation:

Step 1: Define

$y=\sqrt{x} (x+2)$

Step 2: Rewrite

$y=x^{\frac{1}{2} } (x+2)$

Step 3: Differentiate

Product Rule [Basic Power/Chain Rule]: $y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)$
Simplify: $y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}$
Rewrite: $y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}$
Add: $y'= \frac{3x+2}{2\sqrt{x} }$

7 0

3 years ago

Pls pls help. 20 points

leonid [27]

Answer: -180

Step-by-step explanation:

8 0

2 years ago

White shapes and black shapes are used in a game some of these shapes are circles and all the rest of the shapes are squares the

daser333 [38]

Answer:

(D) THE AREA CAN BE FOUND BY COURITING THE GRID SQUARES INSIDE THE SHAPE.

Step-by-step explanation:

7 0

2 years ago

70 thousand considered standard form or written form

Nana76 [90]

Standard form becuase the 70 is not spelled out

3 0

3 years ago

Can you please help me

Dmitry_Shevchenko [17]

Answer:

55 degrees

Step-by-step explanation:

angle adds up to 360. your equation would be 360 = 2(125) + 2(angleN)

7 0

3 years ago