Question

Find the derivative of f(x) = negative 3 divided by x at x = -4.

Answer 1

so 3/4?

Answer 2

nevermind , i am way off, and was doing the other way , integrate

Answer 3

[ 3 / x] ' =

you can use the quotient derivative rule, or just rewrite the thing as a negative exponent and do product rule...

[ 3*x^(-1) ] ' =

-1*3*x^(-2)

Answer 4

i am so confused now

Answer 5

then put the -2 exponent back

-3 / x^2

Answer 6

oh the prob is -3, so the sign is + sorry


f(x) = -3/x = -3*x^(-1)

f ' (x) = 3*x^(-2) = 3/ x^2

Answer 7

so 3/16?

Answer 8

the first kinda shortcut rule you learn , derivative of a variable to a power

x^n

\[\large \frac{ d }{ dx }x^n = n * x^{n-1}\]

Answer 9

yeah f ' (-4)

Answer 10

unless you have to show something else you learned,

Answer 11

wait i thought the answer is 3/4

Answer 12

the derivative is f '(x) = 3/x^2 , evaluated at x=-4, f '(-4) = 3/16