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3 years ago

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

Mathematics

2 answers:

Lapatulllka [165]3 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]3 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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Answer:

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Step-by-step explanation:

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3 years ago

If ∆ABC = ∆EDF where the coordinates of A(0,2), B(2,4), and C(2,-1), what is the measure of DF?A-3B-3.1C-5D-5.9Please respond qu

aev [14]

The triangles ABC and EDF are congruent, meaning they have the same side lengths and angles measures.

The measure of DF, as both triangles are congruent, is equal to the measure of BC.

We can calculate the length of BC using the distance formula:

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2 years ago

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stiv31 [10]

Answer:

120 m^2

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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