Question

Determine the slop off the tangent at x=4 for f(x)=x/(x^2 -15). would be help full if is someone can explain it using Limits.

Answer 1

looks to me like it's asking for
what is the limit of f(x) as x -> 4, approaches 4

Answer 2

the value will be the slope as x = 4, and thus the limit

Answer 3

no i have to use f(a+h)= f(a+h)-f(a) all over h

Answer 4

so ur given 4 and when u plug that in to the function u get a value and that one of ur points on the graph. and u need to find another point basically so use the limit equation as i mention above

Answer 5

right, still the same thing

Answer 6

f(a+h)= f(a+h)-f(a) all over h <--- all it does is finds the derivative, which is the equation of the slope of the tangent line

Answer 7

but i am having difficulties getting rid of the h in the denominator, and brb

Answer 8

k back

Answer 9

ever got rid of it?