Question

What is the derivative of 2x^3

Answer 1

by hand or power rule?

Answer 2

by hand

Answer 3

please

Answer 4

2x^3
rule:
nx^n-1

n=3
so
(3)2x^3-1
=6x^2

Answer 5

Sorry I need it by hand suka

Answer 6

\[\lim_{h\to 0}\frac{2(x+h)^3-2x^3}{h}\] \[=2\lim_{h\to 0}\frac{(x+h)^3-x^3}{h}\]
\[=2\lim_{h\to 0}\frac{x^3+3x^2h+3xh^2+h^3-x^3}{h}\]
get rid of the \(x^3\) up top, factor out an \(h\) to cancel with the \(h\) in the denominator, then replace \(h\) by zero

Answer 7

Thanks man

Answer 8

yw, hope steps are clear, and don't forget that 2 out front

Answer 9

is it 3*2x^2=6x^2