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Iteru [2.4K]
3 years ago
8

Derivative of g(x) = (2ra^(rx)+n)^p ?

Mathematics
1 answer:
ycow [4]3 years ago
3 0
The main formula of derivative
if g(x) = a^x, so g'(x) =  a^x. lna, a>0, a # 1, 
so g ' (x) = [(2ra^(rx)+n)^p] = 2r.a^(rx)+n)^p . ln a
so g ' (x) = 2r. ln a. a^(rx)+n)^p 
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The cube root of 5 times the square root of 5 over the cube root of 5 to the 5th power
Fiesta28 [93]
(cube root of 5)  * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)

This becomes easier if we switch to fractional exponents:


  5^(1/3) * 5^(1/2)         5^(1/3 + 1/2)       5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
[ 5^5 ]^(1/3)                  5^(5/3)                 5^(5/3) 

Note that 5/6 - 5/3 = 5/6 - 10/6 = -5/6.

                                                            1
Thus,  5^[5/6 - 5/3] = 5^(-5/6)  =  --------------
                                                        5^(5/6)

That's the correct answer.  But if you want to remove the fractional exponent from the denominator, do this:

    1            5^(1/6)         5^(1/6)
---------- * ------------- = --------------    (ANSWER)
5^(5/6)       5^(1/6)              5
7 0
4 years ago
CAN SOMEONE HELP ME ASAP ITS SO IMPORTANT
alexgriva [62]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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dezoksy [38]

Answer:

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Step-by-step explanation:

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7 0
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Answer:

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7 0
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artcher [175]
Let F be the father's current age, and E be Evie's current age.
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Then solve by substituting one equation into another:
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7 0
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