Question

Find the derivative of k(x)=4/x by using the power rule.

k ' (x) = __________

how do we start this??

Answer 1

*exponent laws

Answer 2

\[\Large k(x) = 4 x^{-1}\]

Answer 3

oh okay:)

so to make it a derivative what happens?

Answer 4

Use the power rule and find out :P

multiply by the power, then reduce the power by one

Answer 5

so 4x^-1 * -1 ?

Answer 6

You missed something, read the power rule again

Answer 7

so k(x)=4/x = 4x^-1

f ' (x) = nx^n-1

so 4x^4-1 = 4x^3 ?

Answer 8

You're getting things mixed up. The power is -1, not 4.

Answer 9

ahh okay :/ erm so k(x) simplifies to 4x^-1 right?

Answer 10

and the rule is f ' (x) = nx^(n-1) right? :/

Answer 11

\[\Large k(x) = 4 x^{-1} \]multiply by the power (which is the -1). Then reduce the power by 1.

Answer 12

=4(-x) ?

Answer 13

\[\Large k'(x) = (-1)*4 x^{-1-1}\]

Answer 14

ohhh okay...
soo, (-1) * 4x^-2 ?

so (-1) * 4x = -4x ?

Answer 15

I can not figure out what you are doing...

Answer 16

ahh okay sorry..

umm i messed up haha

so (-1) * 4x^-2 = -4x^-2 = -4 / x^2 ??

Answer 17

Yes.

Answer 18

ah okay awesome!! thank you!!

Answer 19

:)