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3 years ago

15

G( x)=sqrt(3x) find g'(x)

1 answer:

steposvetlana [31]3 years ago

4 0

Well, g'(x) is just a fancy way of saying "the slope of". In calculus, it's also called "the derivative".
So our original function is
sqrt3x (I'm leaving out the G(x))
First, we'll need to rewrite this in exponential form:
(3x)^1/2
Now, to take a derivative, move the exponent to the front of the expression:
1/2(3x)^1/2
And add 1 to the exponent:
g'(x)=1/2(3x)^3/2
g'(x)=1/2(sqrt27)x^3/2
g'(x)=((sqrt27)/2)x^3/2
I hope it didn't get confusing with all the parentheses! Sorry if it did!
Hope this helps!

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3x3z−6z for z=5 solve pllllsslssss

Hitman42 [59]

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3 years ago

100 POINTS PLZ HELPPP Drag each tile to the correct box. Arrange the expressions in increasing order of their estimated values.

andrew11 [14]

Answer:

<h3> $\frac{\sqrt{24}- \sqrt{54} }{\sqrt{6}}$ = -1 </h3><h3> $\sqrt{\frac{9}{20}$ * $\frac{10\sqrt{2} }{3\sqrt{5} }$ = 1.4142</h3><h3> $\frac{10\pi\sqrt{2}-8\pi\sqrt{2}}{2\sqrt{2}}$ = π =3.14159</h3><h3> $\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}$ = π² = 9.8696</h3>

Explanation:

1.) Rewrite √24 = $\sqrt{4*6} = 2\sqrt{6}$ Rewrite √54 = $\sqrt{9*6}= 3\sqrt{6}$

Divide both terms by the denominator; √6 cancels. 2-3 = -1

2.) Rewrite as $\frac{3}{2\sqrt{5}}$ × $\frac{10\sqrt{2}}{3\sqrt{5}}$ The 3's cancel. 10/2 = 5√2 in the numerator.

√5 × √5 = 5 in the denominator. The 5's cancel.

That leaves √2 ≈1.4142

3.) Divide the terms in the numerator by the term in the denominator.

√2's cancel. 10π/2 = 5π 8π/2 = 4π

Subtract and we are left with π = 3.14159

4.) $\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}$ The square roots are reciprocals. They multiply to 1

We are left with π × π = π² ≈ 9.8696

<h3> </h3>

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3 years ago

Read 2 more answers

Solve the following equation:x^2=10

torisob [31]

Answer:

x=- (square root sign) 10 x=(square root sign) 10

Step-by-step explanation:

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3 years ago

Read 2 more answers

Solve for c.<br> -c/2+43 = 50

noname [10]

$\huge\text{Hey there!}$

$\mathsf{-\dfrac{c}{2}+43=50}$

$\large\text{SUBTRACT 43 to BOTH SIDES}$

$\mathsf{-\dfrac{c}{2}+43-43=50-43}$

$\large\textsf{CANCEL out: 43 - 43 because that gives you 0}$

$\large\textsf{KEEP: 50 - 43 because it helps solve for the c-value}$

$\mathsf{50 - 43 = \bf 7}$

$\large\text{NEW EQUATION: }\mathsf{-\dfrac{c}{2}=7}$

$\large\textsf{MULTIPLY }\mathsf{\dfrac{2}{-1}}\large\textsf{ to BOTH SIDES}$

$\mathsf{\dfrac{2}{-1}\times-\dfrac{c}{2}= \dfrac{2}{-1}\times7}$

$\large\textsf{CANCEL out: your RIGHT SIDE of the equation because that gives}\\\large\textsf{you 1}$

$\large\textsf{KEEP: }\mathsf{\dfrac{2}{-1}\times7}\large\textsf{ because that helps solve for the c-value}$

$\uparrow\large\text{SIMPLIFY THE EQUATION ABOVE \& YOU HAVE YOUR}\\\large\text{C-VALUE}\uparrow$

$\boxed{\boxed{\large\text{ANSWER: \huge\bf c = -14}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

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3 years ago

Jennifer has 7/8 foot board. She cut off a 1/4 foot price that was for a project. In feet, how much of the board was left?

Shkiper50 [21]

1/4=2/8
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so 5/8 foot of the board is left

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4 years ago