Question

Find the derivative of f(x) = 8/x at x = -1.

Answer 1

@dan815

Answer 2

do you know the power rule?

Answer 3

no sorry

Answer 4

@Peaches15

Answer 5

here is if this helps f(x) = 8x^(-1) is the same thing as f(x) = 8/x

Answer 6

oh cool

Answer 7

now I know the power rule

Answer 8

so just bring the -1 down and subtract 1 from the exponent of -1

Answer 9

you make no sense lol

Answer 10

can you pls show me?

Answer 11

f(x) = x^6 • 7e^(7x) + e^(7x) • 6x^5 = e^(7x) (7x^6 + 6x^5) hope this help

Answer 12

yeah afcourse
y = 8x^(-1)
y'= (-1)8x^(-1-1)
y' = -8x^(-2)

Answer 13

ok what does that do? how does that bring us closer to solving the problem. Pls just list the steps and how to do them for this problem and once I get it once I won't need help again. I will be your 2nd fan and give you medal

Answer 14

when you have negative exponents you can bring them to the denominator and then they become positive so youll get y' = -8/x^2

Answer 15

ok but how do i find the gosh darn derivative?

Answer 16

here plug in your problem into this calculator it shows steps and names the rules that you need to use itll explain it better than i could http://www.derivative-calculator.net/

Answer 17

y' = -8/x^2 is the derivative

Answer 18

oho thanks

Answer 19

see but these are my answers:
4
0
8
-8

Answer 20

@phi

Answer 21

yeah know you need to plug in the -1 remember from your x = -1 in the question

Answer 22

now*

Answer 23

ok thanks got it now