2 years ago

Which expressions are equivalent to 4(3j+(-4))-9

Mathematics

1 answer:

Aleksandr [31]2 years ago

7 0

4 • (3j - 4) - 9
 12j - 25

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Use logarithmic differentiation to find the derivative of the function. y = x2cos x Part 1 of 4 Using properties of logarithms,

Arisa [49]

ANSWER

${y}^{'} = 2x \cos(x) - {x}^{2} \sin(x)$

EXPLANATION

The given function is

$y = {x}^{2} \cos(x)$

We take natural log of both sides;

$ln(y) = ln({x}^{2} \cos(x) )$

Recall and use the product rule of logarithms.

$ln(AB) = ln(A ) + ln(B)$

This implies that:

$ln(y) = ln({x}^{2} ) + ln( \cos(x) )$

$ln(y) = 2 ln({x} ) + ln( \cos(x) )$

We now differentiate implicitly to obtain;

$\frac{ {y}^{'} }{y} = \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) }$

Multiply through by y,

${y}^{'} = y( \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) ) })$

Substitute y=x²cosx to obtain;

${y}^{'} = {x}^{2} \cos(x) ( \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) ) } )$

Expand:

${y}^{'} = 2x \cos(x) - {x}^{2} \sin(x)$

7 0

2 years ago

When asked to compare -9 and positive 2 Joshua wrote -9 >2 Joshua correct? If not explain and correct his error

morpeh [17]

Answer:

-9 < 2

Step-by-step explanation:

-9 is a negative number

2 is positive number

and of course -9 is smaller or < than 2

This means he is wrong becuase this symbol > means greater

He should correct it to -9 < (less) than 9

Hope this help you :3

8 0

2 years ago

Which list shows the numbers in order from least to greatest? 1.38, 137 , 1.4

Advocard [28]

1.38 - 1.4 - 137 that is from least to greatest

8 0

2 years ago

Read 2 more answers

What is the decimal equivalent of the fraction?

Anton [14]

7 divided by 12 = 0.583

7 0

2 years ago

Read 2 more answers

The walls of a square storage room in a warehouse are 300 feet long. What is the distance from one corner to the other corner of

yulyashka [42]

Use Pythagoras theorem. (a^2 + b^2 = c^2)

300^2+300^2 = 180000
√180000 = 424.3

The answer is 424 foot.

Hope this helps.

3 0

2 years ago