Question

HELP BECOMING FAN AND MEDALS PLZ
1.) Find the derivative of f(x) = -3/x at x = -4
a) 3/4
b) 3/16
c) 16/3
d) 4/3

2.) Find the limit of the function by using direct substitution.
lim x-->0 (x^2-2)
a) 2
b) -2
c) doesnt exist
d)0

Answer 1

@Miss.SweetiePie @ganeshie8

Answer 2

@stratemeyerjr

Answer 3

1. convert to negative power

3/x = 3x^-1

now to find the derivative use

if y = ax^n derivative = anx^(n-1)

Answer 4

To make it more clear, \[\frac{ d }{ dx } x^{n} = nx^{n-1}\] this is the power rule apply it, find the derivative using this then plug in x = -4.

Answer 5

here a = 3 and n = -1

Answer 6

And for 2, do as it says :)

Answer 7

\[\lim_{x \rightarrow 0} ~~ x^2-2\] implying x is going to 0, so that should be an obvious substitution.

Answer 8

for 1 i got 3/16 is that right?? @welshfella and number 2 i got B -2

Answer 9

1. derivative = 2 / x^2
when x = -4
deriavative = 3 / 16

yes correct

Answer 10

also b = (0)^2 - 2 = -2

yes

Answer 11

good job

Answer 12

thank u @welshfella

Answer 13

yw