| Blogs > conCentrate9 |
|
conCentrate9
United States438 Posts
For the function f(x) = x^3 - 3x^2 + x + 4 find "k" such that f(x) has only one tangent line of slope "k" All I've done so far is taken the derivative to be f'(x) = 3x^2 - 6x + 1 I've just never seen a problem similar to this one and I'm stumped. Any ideas?   | ||
|
Caller
Poland8075 Posts
k = 3x^2 -6x +1 solve for k for such k that there is only one solution. in other words find a discriminant that is 0 discriminant = b^2-4ac (-6)^2 - (4)(1)(k) find k such that the above expression = 0 = 36-4k k = 9 | ||
|
Nitrogen
United States5345 Posts
| ||
|
conCentrate9
United States438 Posts
| ||
|
conCentrate9
United States438 Posts
b^2-4ac=0 36-4(3)(1-k)=0 36-12(1-k)=0 36-12+12k=0 24+12k=0 k = -2 Thanks. | ||
|
Caller
Poland8075 Posts
ma bad | ||
| ||
StarCraft 2 StarCraft: Brood War League of Legends Counter-Strike Other Games Organizations Other Games StarCraft 2 StarCraft: Brood War StarCraft 2 StarCraft: Brood War |
|
Master's Coliseum
Rogue vs MaxPax
Reynor vs SKillous
Reynor vs Rogue
Fire Grow Cup
BSL: ProLeague
Mihu vs Zhanhun
Online Event
Wardi Open
ForJumy Cup
Replay Cast
Replay Cast
CranKy Ducklings
Korean StarCraft League
[ Show More ] |
|
|
EPT
