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This somehow seems easy, but I cannot get the jist of it.
f(x) = x^3 - x^2 - 4x + 4
The point (a,b) is on the graph of f and the line tangent to the graph at (a,b) passes through the point (0,-8) which is not on the graph of f. Find the values of a and b.
okay so, ive spent about an hour just on this part, this problem had 3 parts.
so i though, maybe, set the original with as and bs, so:
b= a^3 - a ^2 - 4a + 4
then maybe take the derivative
b'= 3a^2 - 2a - 4
so maybe
y-8=b'x
from there on it seems to get pretty nasty,:surprised doesnt seem like the type of problem, that should be this nasty.
maybe someone can shed some light on this.
thanks in advanced.:tongue2:
f(x) = x^3 - x^2 - 4x + 4
The point (a,b) is on the graph of f and the line tangent to the graph at (a,b) passes through the point (0,-8) which is not on the graph of f. Find the values of a and b.
okay so, ive spent about an hour just on this part, this problem had 3 parts.
so i though, maybe, set the original with as and bs, so:
b= a^3 - a ^2 - 4a + 4
then maybe take the derivative
b'= 3a^2 - 2a - 4
so maybe
y-8=b'x
from there on it seems to get pretty nasty,:surprised doesnt seem like the type of problem, that should be this nasty.
maybe someone can shed some light on this.
thanks in advanced.:tongue2: