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emmasim [6.3K]
3 years ago
13

How do you find the derivative of y=ln(cos(x))y=ln(cos(x)) ?

Mathematics
1 answer:
makkiz [27]3 years ago
7 0
y=ln(cosx)\\\\We\ know:\\(lnx)'=\frac{1}{x}\ and\ (cosx)'=-sinx\ and\ \{f[g(x)]\}'=f'[g(x)]\cdot g'(x)\\\\therefore:\\\\y'=\frac{1}{cosx}\cdot(-sinx)=-\frac{sinx}{cosx}=-tanx
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What’s the answer to this ? I can’t find it out
olya-2409 [2.1K]

The problem is confusing because the words (and question marks) are not consistently used. Let's do this:

... (cooler price) + (tax on the cooler) = (total bill)

The <em>cooler price</em> is 100% of the cooler price.

The <em>tax on the cooler</em> is 6% of the cooler price.

The total bill is the total of these:

... (100% × (cooler price)) + (6% × (cooler price)) = (total bill)

Using the distributive property, we can factor out (cooler price) to get ...

... (100% + 6%) × (cooler price) = (total bill)

Adding the numbers together, we have

... (106%) × (cooler price) = (total bill)

_____

There are two question marks in the addition problem, and each gets a different number. I can't tell from the portion of the picture here what the expected answer is. (I suspect it may be 106%.) I can tell you ...

... 100% of cooler price

... + 6% of cooler price (tax)

... = 106% of cooler price (total bill, $7.95)

== == == == == == == ==

In problems involving retail sales, the term "cost" is usually used to mean the amount the retailer paid his supplier for the item. Here, that term seems to be used interchangeably with the term "price" to refer to the sticker price on the item in the store.

3 0
3 years ago
Is 6 rational or irrational
swat32

Answer:

-6 is a rational number

Step-by-step explanation:

because it can be expressed as a fraction where the numerator and denominator are integers and the denominator doesn't equal 0.

3 0
3 years ago
Maya is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She
yKpoI14uk [10]

Answer:

The kite is 73.4 feet above the ground.

Step-by-step explanation:

125 sin 34=

Cross multiply.

x=69.899112...

x=69.899112...

{Add 3.5, the distance from the ground to her hand:}

Add 3.5, the distance from the ground to her hand:

69.899112...+3.5=

73.399112...

3 0
3 years ago
A theorem is proved using a geometric proof.<br> True or False?
Lerok [7]
A theorem is defined as an existing fact that was proved to be correct through experimentation or mathematical reasoning. In this case, we can say that a theorem can be proven by geometric proof as it is required for people to consider it as a fact. Answer is true.
6 0
3 years ago
Work for determining system for log base radical 2 of e​
igomit [66]

Answer:

4 ok bye

Thank you

Babye❤️

7 0
3 years ago
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