Slope of the tangent = gradient of tangent=gradient of curve = dy / dx = 4/3
Find dy / dx, for y = f(x), and then form the equation: dy / dx=4/3.
Solve for x.
aaah i keep getting stuck! i get this big long equation and i dont know how to simplify it! i got:
lim of Δx->0 [(6x²Δx + 6xΔx² + 6xΔx + 3Δx²)/(4x² + 8xΔx + 4x + 1)]/Δx
aaah i keep getting stuck! i get this big long equation and i dont know how to simplify it! i got:
lim of Δx->0 [(6x²Δx + 6xΔx² + 6xΔx + 3Δx²)/(4x² + 8xΔx + 4x + 1)]/Δx
This is the same as
Since there is a " " in each term in the numerator, you can cancel that " " multiplying the denominator:
Now, neither numerator nor denominator goes to 0 as goes to 0.
Last edited by HallsofIvy; Oct 5th 2010 at 04:54 AM.
Since there is a " " in each term in the numerator, you can cancel that " " multiplying the denominator:
Now, neither numerator nor denominator goes to 0 as goes to 0.
so then do i sub in 0 for wherever there is a Δ then equate that to 4/3? because when i factor that out i get x= -2,1 but the question asks for THE x value as in only one??