what is....?

Question

d over dx times 3x I know it is a derivitive but what is the answer very important.

Answer 1

One way to write it in this site could be:

d(3x)/dx

d is an operator and it acts on 3x. The dx on the bottom indicates that the operation is to be performed in relation to x (meaning taking x as a variable)

For straightforward powers of x, the rule is:
multiply the factor by the power, then reduce the power by one.
Here, the power of x is 1 (which is normally left unmarked)

So the factor becomes 3*1 = 3

And the power of x is reduced by 1, from x^1 to x^0 (x disappears; because anything raised to power 0 gives 1)

Therefore d(3x)/dx = 3

Answer 2

3 over dx. not sure though. all i did was writed d over dx and right next to it wrote 3x over dx because its the denominator for d. then canceled out the x and the the d which only left me with the 3 over dx. Hope you understand.

Answer 3

When you have something of the following form:
a x^n

You reduce the exponent by 1 and then multiply by the original exponent. So the answer would be:
an x^(n-1)

In your case, you simply have
3x

So the exponent is 1 and gets reduced to 0.
3 * 1 x^0

x^0 is 1 so the answer is just:
3

Here's some other examples:
d/dx (5x) = 5
d/dx (5x^2) = 10x
d/dx (4x^3) = 12x^2
d/dx (20x^4) = 80x^3

Get the idea?

Answer 4

You need to watch when you say times...what the question really is is derivative of 3x with respect to x...and the answer is 3.

Answer 5

It is not "times" -- d/dx is an "operator", which when applied to 3x yields 3. This is elementary differential calculus.

Answer 6

(d/dx)*3x so the d's cancel out
(1/x)*3x so the x cancel's out and you're left w/ 3 as the answer

Answer 7

do u mean

d
--- x 3x?
dx

or the derivative of 3x?
if so, then the answer is 3

Answer 8

the derivatives of 3x is 3...

Answer 9

The answer must be 3. The d's and the x's cancel out, leaving you with 3.

Good luck!