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scoray [572]
2 years ago
15

Find the derivative of the given function. f(x) = (x^1/4 + 11) (7 x^1/2+ 3)

Mathematics
2 answers:
Lapatulllka [165]2 years ago
5 0

Answer:

Step-by-step explanation:

f(x)=(x^{\frac{1}{4}}+11)(7 x^{\frac{1}{2}}+3)\\f'(x)=(x^{\frac{1}{4}}+11)(7*\frac{1}{2}x^{-\frac{1}{2}})+\frac{1}{4} x^{-\frac{3}{4}}(7 x^{\frac{1}{2}}+3)

zhenek [66]2 years ago
4 0

Answer:

21/4 x^-1/4 + 77/2 x^-1/2 + 3/4 x^-3/4.

Step-by-step explanation:

Use the product rule;

d(uv) = udv/dx + v du/dx

u = x^1/4 + 11 and v = 7x^1/2+ 3.

f'(x) =  (x^1/4 + 11)(7/2x^-1/2 + (7 x^1/2+ 3)1/4x^-3/4.

= 7/2x^-1/4 + 77/2x^-1/2 + 7/4x^-1/4 + 3/4x^-3/4

= 21/4 x^-1/4 + 77/2 x^-1/2 + 3/4 x^-3/4.

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3 years ago
Solve the system of equations using the substitution method.
Karolina [17]
Substitution is where we first Isolate one of the unknowns, express it in terms of the other unknown, and replace the isolated unknown with the other unknown in another equation. So that each time we only need to deal with one unknown. I think you'll get a better idea here:

First name these 2 equations with 1 and 2.
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Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.

Substitute (2) into (1).
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Expand.
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Group.
19x + 45 = 7

Shift +45 to the other side and turn it into -45.

19x = 7 - 45
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Shift x19 to the other side, turn it into /19.
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Now we solved x already, we can just substitute x= - 2 back to equation (2).

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So, the answers are
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2 years ago
G
Oxana [17]

Answer: The measurement of angle B is 34. The measurement of angle C is 108. The measurement of angle F is 72.

Step-by-step explanation:

4 0
2 years ago
A package of 12 pencils cost $0.96. what is the price for each pencil in dollars
MAXImum [283]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
Please help me with this.
Marta_Voda [28]

Answer:

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8 0
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