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2 years ago

Why is the notation startfraction dy over dx endfraction used to represent the derivative?

Mathematics

1 answer:

kkurt [141]2 years ago

8 0

We know $\frac{dy}{dx}$ expression is used for represent the derivative.

Actually, derivative is the second name of " Rate of Change".

And if we read $\frac{dy}{dx}$ , it represents the "Rate of change of y with respect to x".

In simple words, a derivative is the rate of change or slope of a very small portion of a function.

dy represents very small change in y-coordinate and dx represents very small change in x-coordinate.

Because deriviate is the second name of " a very small rate of change".

We use $\frac{dx}{xy}$ to represent the derivative.

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julsineya [31]

Answer:

only three shapes are mentioned.

But anyhow, 4 shapes allow the following reasoning...

you can start lining up with any of the for shapes, so you have 4 possibilities, for the second position you have 3 possibilities, for the third 2 and for the last only 1.

so 4*3*2*1= 24 possible ways

but with the added rule to keep the circle and the square apart, we have to reduce the number.

by the same step-by-step reasoning we get

4 possibilities for the 1st item

only 2 possibilities for the 2nd item

(if 1st is square or circle, the other one's not an option, if it's not we have to choose one of them to not place them both at point 3 and 4)

only 1 choice for the 3rd item

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plus scenarios where either square or circle are on 1st point, the other's on 4th.

I guess that makes 14 possible arrangements

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2 years ago

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Korolek [52]

Answer:

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The boat costs twice as much as the goggles, divide 8 by 2 to find the price of the goggles. The price of the goggles is $4.

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2 years ago

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2 years ago

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By graphing the given equation

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We find that the graph is symmetric about the y-axis
The graph of the given equation is attached below
------------------------------------------------------------------------------
Some information about the given equation:
the given equation is like the form of the Cardioid

A curve that is somewhat heart shaped. A cardioid can be drawn by tracing the path of a point on a circle as the circle rolls around a fixed circle of the same radius. The equation is usually written in polar coordinates.
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2 years ago

Read 2 more answers

The parent function of the function g(x) = (x - 5)2 + k is f(x) = x2. The vertex of the function g(x) is located at (9,-8).

likoan [24]

Answer:

h = 5 and k = -8.

Step-by-step explanation:

The parent equation is f(x) = x², which is the equation of a parabola having the vertex at point (0,0).

The original equation is given by g(x) = (x - 5)² + k, ⇒ y = (x - 5)² + k

⇒ y - k = (x - 5)²

So, the vertex of the original equation is at (5, k) which is given to be (5, -8)

Therefore, h = 5 and k = -8. (Answer)

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2 years ago

Why is the notation startfraction dy over dx endfraction used to represent the​ derivative?

Why is the notation startfraction dy over dx endfraction used to represent the derivative?