All categories

2 years ago

Find the first and second derivatives of the function y = sin(x^2)

Mathematics

1 answer:

exis [7]2 years ago

7 0

Y = sin(x^2)

Use the chain rule.

We want dy/dx.

dy/dx = cos(x^2)*2x

dy/dx = 2xcos(x^2)

Did you follow?

You might be interested in

What are 2 equivalent expressions that are equal to 10m-40

yuradex [85]

It's simple, there is a ton
Multiply all the numbers by 2: 20m - 80
or Divide all the numbers by 2: 5m- 20
or Multiply all the numbers by 3: 30m - 120

4 0

2 years ago

Read 2 more answers

Y=-1/4x-5 and 2x+8y=56 determine if paralllel ,nethier or perpendicular

Dominik [7]

Answer:

Parallel

Step-by-step explanation:

In the slope-intercept form (y=mx +c), the coefficient of x tells us the slope of the line.

2x +8y= 56

Let's rewrite this equation into the slope-intercept form.

8y= -2x +56

Dividing both sides by 8:

$y= - \frac{2}{8} x + \frac{56}{8}$

$y = - \frac{1}{4} x + 7$

Slope= -¼

y= -¼x -5

Slope= -¼

Since both lines have the same slope, they are parallel to each other.

3 0

1 year ago

Use place-value patterns to complete the table. 100 is ten times as much as 1/10 of?

Eva8 [605]

100 is ten times as much as 1/10 of a hundred

ur multiplying n then dividing by ten so they cancel each other out

theres no table so idk if this is what u wanted but that's the answer
hope it helps

3 0

3 years ago

If $4500 earns $120 simple interest at a flat rate of 2% p.a., calculate the duration of the investment.

Nimfa-mama [501]

Answer:

1.33 years.

Step-by-step explanation:

$I=PRT$

$120=4500(0.02)T$

$120/90=T$

$T=4/3$

4 0

2 years ago

Which are the like terms in 2y^3 – 4y^2 + y + y^3?

mash [69]

Like terms are going to have the EXACT same variables....or they can just be constants with no variables.

x^2 and 3x^2 are like terms
x^2 and x^3 are not like terms
8 and 9 are like terms
8x and 9y are not like terms

so ur like terms in ur problem are : 2y^3 and y^3

7 0

2 years ago