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3 years ago

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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What is the answer? I don’t understand how to get it.

miss Akunina [59]

Answer:

Step-by-step explanation:

Sub in the (x,y) points given into the equation to see if true ....you'll find A is the answer

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2 years ago

The tile along the edge of a triangular community pool needs to be replaced. Which expression represents the total perimeter of

topjm [15]

The total perimeter of the pool edge $\boxed{12{x^2} + 15}$ .Option A is correct.

Further Explanation:

The formula of area of square can be expressed as follows,

${\text{Area}} = \dfrac{1}{2} \times \left( b \right) \times \left( h \right)$

The formula of perimeter of the triangle can be expressed as follows,

$\boxed{{\text{Perimeter}} = 3 \times s}$

Here, s represents the side of square.

Given:

The options are as follows,

A. ${12x^2} + 15$

B. ${20x^2} + 25$

C. ${12x^2} + 8x +25$

D. ${24x^2} + 16x + 50$

Explanation:

Option A is ${12x^2} + 15.$

12 and 15 are the multiple of 3.

$\begin{aligned}{\text{Perimeter}} &= 12{x^2} + 15\\&= 3\left( {4{x^2} + 5} \right)\\\end{aligned}$

Therefore, the perimeter of the pool is ${12x^2} + 15.$

The total perimeter of the pool edge $\boxed{12{x^2} + 15}$ .Option A is correct.

Option A is correct.

Option B is not correct.

Option C is not correct.

Option D is not correct.

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Mensuration

Keywords: tile, edge, triangular, community pool, replaced, expression, total perimeter, pool edge, length, square, tile, polynomial expression, area, outermost tile, square tile, side of square, width, breadth, area of rectangle, dimension, measure of sides, dimensions of rectangle, expression, square.

7 0

4 years ago

Read 2 more answers

The integer -17 would BEST represent which of these events?

SSSSS [86.1K]

For a graph?

If it is for a graph I can help, otherwise you need more information.

8 0

3 years ago

HELP VERY FAST PLEASE!!! Use the graph of each polynomial function to find the factored form of the related polynomial. Assume t

zloy xaker [14]

The zeros are the points on the x-axis where the graph intersects.

For factorization, you do (x - the zero) for each zero, and multiply them together.

7. A. The zeros are -2 and 4.

The factorization is (x + 2)(x - 4)

7 B. The zeros are 1 and 3.

The factorization is (x - 1)(x - 3)

4 0

3 years ago

The sum of three consecutive natural numbers is 450 find the numbers. The three numbers in increasing order are?

pantera1 [17]

Answer: 149,150,151

Step-by-step explanation:

1.st solution

Let the smallest number is x.

So next consecutive number is x+1

So the third consecutive number is x+2

So the sum of these three numbers is:

x+x+1+x+2=450

3x+3=450

3x=447

x=149 - first number

Second number is 149+1=150

Third number is 150+1=151

2-nd solution

The sum of 3 numbers in row is 450. It means that average number is 450:3=150 - is the number which is in the middle

So the first one number is 150-1=149 and the third number is 150+1=151

5 0

3 years ago