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Tpy6a [65]
1 year ago
6

Check off the methods of differentiation required, and complete the derivative.

Mathematics
1 answer:
kogti [31]1 year ago
6 0

Given:

f(x)=\sqrt[]{5x^2-2}

f(X) will be differentiated by chain rule.

\begin{gathered} f^{\prime}(x)=\frac{1}{2\sqrt[]{5x^2-2}}\lbrack5(2x)\rbrack \\ f^{\prime}(x)=\frac{5x}{\sqrt[]{5x^2-2}} \end{gathered}

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Given f(x)=3x^6, find f^-1(x) then state whether f^-1(x) is a function
Burka [1]

Answer:

Option c.

Step-by-step explanation:

Given,

f(x) = y =  3x^6

To find f^-1(x), we just need to replace y with x, and x with y

x = 3*y^6

Now we solve for y

f(x)^-1 = y = ±(x/3)^(1/6)

To quickly see if it is a function, we can plot it using an graphing calculator or any plotting tool.

Please see attached picture.

By looking at the plot, we can tell f(x)^-1 is not a function, because for a single value of x, there are two corresponding values of y

Correct answer:

Option C.

4 0
3 years ago
(2x-5y)^2<br><br> Find the square using identity<br> Class 8
SVEN [57.7K]

Answer:

=4x^2−20xy+25y^2

Step-by-step explanation:

(2x−5y)^2

=(2x+−5y)(2x+−5y)

=(2x)(2x)+(2x)(−5y)+(−5y)(2x)+(−5y)(−5y)

=4x^2−10xy−10xy+25y^2

=4x^2−20xy+25y^2

Hope it helped!

3 0
3 years ago
Read 2 more answers
Check attachment for the question:)
jeka57 [31]

Answer:

£2909.84

Step-by-step explanation:

184×12=$2208 for 12 nights at the hotel

6×9=$27 for 9 days of wifi

27×6=$162 for 6 taxi rides

Add all of them you get $2397, then convert that to £ you get £1309.84, now add the flight costs and your final answer should be £2909.84

7 0
3 years ago
Find the equation of the line. use exact numbers.
tester [92]
Your equation is y=-2x+5. First find the slope by plugging two points into the slope equation y2-y1 over x2-x1. This then gets you the slope of -2. Then find the point where x=0, which then gets you your y intercept or the b value in the equation. With the slope as m and y intercept as b, we can find that in the equation y=mx+b with the new values plugged in y=-2x+5.
8 0
3 years ago
9. The side of a rectangle was 56 feet long. It is now 8 feet long. What was the scale factor was
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Answer:

56ft

Step-by-step explanation:

because 还是故事还是vs酒吧睡觉把书本上

5 0
3 years ago
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