All categories

3 years ago

Can someone explain to me this derivative : y=3x√x

Mathematics

1 answer:

dimaraw [331]3 years ago

6 0

Answer:

(9/2)√x.

Step-by-step explanation:

Convert the radical to an exponent.

x√x = x^1 * x^1/2

= x^(1 + 1/2)

= x^3/2

So the derivative of 3x^3/2 is found as follows:

y' = 3 * 3/2x^(3/2 - 1)

= (9/2)x^1/2

= (9/2)√x.

You might be interested in

What are three ratios equal to 4 over 28 .simplify if needed?

SVETLANKA909090 [29]

4/28 = 1/7 when dividing both numerator & denominator by 4 and this would be the simplified fraction.

You could use 1/7 to multiply with others to get other ratios that are equal to 4/28 or you could just use 4/28.

For example:
1/7 = 7/49
or
4/28 = 8/56

6 0

3 years ago

Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method?

Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

$\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c$

Add and subtract the half of the square the coefficient of x,

$\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c$

Then we have

$\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c$

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ1

3 0

2 years ago

Heyyyyy please help me do this question

Vlad [161]

Answer:

5/12

Step-by-step explanation:

convert 1/3 to 4/12 and 1/4 to 3/12 so 3+4=7 so 7/12 dropped out so now 12-7=5 so 5/12 is the answer

6 0

3 years ago

Read 2 more answers

List the sides from shortest to longest

LUCKY_DIMON [66]

Answer:

L to K

K to J

Step-by-step explanation:

the length between L and K is shorter when compared the side K to J

hope it helps :)

5 0

3 years ago

Read 2 more answers

I really am confused on how to write a proof.

kvasek [131]

Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

$\begin{gathered} AB=CD \\ BC=AD \end{gathered}$

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

$\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}$

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,

Then the corresponding parts of the triangles will be equal,

$\begin{gathered} AE=CE \\ BE=DE \end{gathered}$

Hence Proved.

8 0

1 year ago