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pogonyaev
3 years ago
9

What is the derivative of y=3tan(x)y=3 tan (x) ?

Mathematics
2 answers:
maw [93]3 years ago
6 0
y=3tanx\\\\tanx=\frac{sinx}{cosx}\Rightarrow y=\frac{3sinx}{cosx}\\\\\\y'=\frac{(3sinx)'cosx-3sinx(cosx)'}{(cosx)^2}=\frac{3cosxcosx-3sinx(-sinx)}{cos^2x}=\frac{3cos^2x+3sin^2x}{cos^2x}\\\\=\frac{3(cos^2x+sin^2x)}{cos^2x}=\frac{3(1)}{cos^2x}=\frac{3}{cos^2x}\\\\-------------------\\\\sin^2x+cos^2x=1

viva [34]3 years ago
6 0
Answer is in the attachment below. Use the "product rule".

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I need help with this problem x²+4x﹣30=﹣3x
a_sh-v [17]

Answer:

x^2 + 4x -30 = -3x\\x^2 + 4x +3x -30 = 0\\x^2 + 7x -30 = 0\\x^2 +10x -3x -30 = 0\\x(x+10) -3(x+10)\\(x-3)(x+10) = 0\\x = 3, -10

7 0
2 years ago
Read 2 more answers
Use the distributive property to write an expression that is equivalent to: 3(x + 5)
lana [24]

Answer:

3x=15

Step-by-step explanation:

Here's what I found on google about the distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now for the math-

3(x+5)

distribute the numbers-  3(x)+3(5)

solve-  3*5=15

3x+15

3 0
3 years ago
Whats the area of this parallelogram?
mart [117]
The formula for a parallelogram is A(area)= b(base) x h(height)
A= 6cm + 5cm
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So your answer is 132cm.
7 0
3 years ago
What is the prime number ot 35,69,89,90
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3 years ago
John has $4000 in his savings account.each month he withdraws $70 from his account which is the type of function that models thi
r-ruslan [8.4K]

Answer:

y = 4000 - 70x

Linear function.

Step-by-step explanation:

Let x = number of weeks.

In 1 week, he withdraws $70.

That means -70 in 1 week.

After the second week, he will have withdrawn 2 times $70, or

-70 × 2

After 3 week, he will have withdrawn -70 × 3

After x weeks, he will have withdrawn $70 × x,or simply -70x.

He starts with 4000, so after x weeks, he has 4000 - 7x.

Let y = the amount of money at week x.

The equation is

y = 4000 - 70x

This is a linear function.

6 0
3 years ago
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