Question

Shortcuts?:)
Find dy/dx
y=-3x^7

Answer 1

that is simply the derivative...

dy/dx= -21x^6

Answer 2

Yes I know. What is a shortcut? I just started learning it.

Answer 3

I know the formula, but is there a fast way to do it?

Answer 4

A shortcut for monomials as such would be to use the power rule.

Answer 5

y=ax^n
dy/dx=anx^n-1

Answer 6

Okay that's what I figured a shortcut is, I just wanted to make sure it was an actual rule.

Answer 7

This only works for monomials?

Answer 8

No

Answer 9

It works for any polynomial

Answer 10

I'm not on polynomial's yet but I'm sure I will be in a few minutes. How about this question?
d/dx
(18sqrt(x))

Answer 11

\[18\sqrt{x}?\]

Answer 12

\[18\sqrt(x)\]
can also be rewritten as
\[18x ^{1/2}\]