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3 years ago

Use logarithmic differentiation to find dy/dx

Mathematics

1 answer:

Agata [3.3K]3 years ago

3 0

Answer:

Hello,

Step-by-step explanation:

Let's say:

$y=x^{cotg(x)}\\\\ln(y)=cotg(x)*ln(x)\\\\\\\dfrac{y'}{y}=\dfrac{-1}{sin^2(x)} *ln(x)+\dfrac{cotg(x)}{x} \\\\\\y'=-\dfrac{x^{cotg(x)}*ln(x)}{sin^2(x)} +cotg(x)*x^{cotg(x)-1}\\$

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Which expression is equivalent to (9x2y6)−1/2?

galben [10]

Answer:

B. 1/(3xy^3)

Step-by-step explanation:

The minus sign can be dealt with first, then the root taken.

$\left(9x^{2}y^{6}\right)^{-\frac{1}{2}}=\dfrac{1}{\sqrt{9x^{2}y^{6}}}\\\\=\dfrac{1}{\sqrt{9}\sqrt{x^2}\sqrt{y^6}}=\dfrac{1}{3xy^3}$

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3 years ago

Eighth grade > V.4 Area and circumference of circles CHV

kati45 [8]

Answer: $D=13.8$

Step-by-step explanation:

To fing the diameter of a circle when given the circumfrence we use the formula of

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$D= \frac{43.332}{3.14}$

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2 years ago

Convert degree into Radian that is 18 degree 12'

kiruha [24]

Answer:

$\frac{\pi }{10}$ radians

Step-by-step explanation:

To convert degrees into radians, multiply the degrees with $\frac{\pi}{180}$ .

If you have 18 degrees:

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3 years ago

An altitude of a triangle is a line or segment that passes through a vertex of the triangle and is _____________ to the line con

GenaCL600 [577]

I think best word to insert in the blank is the term "bisecting".

An altitude of a triangle is a line or segment that passes through a vertex of the triangle and is bisecting <span>to the line containing the opposite side.

</span>"Bisect<span>" means to divide into two equal parts which is true for the altitude of a triangle.</span>

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3 years ago

Read 2 more answers

On a scale drawing, a bicycle is 6 4/5 inches tall. The scale factor is 1/6. Find the height of the bicycle

Fantom [35]

The height will be six times what is on the drawing.

6 4/5 x 6 = 36 24/5 = 40 4/5 inches tall.

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3 years ago