Asked by Jessi
How many horizontal tangents does the graph of f(x)=(x-1)^2(x-3)^2 have?
f(x)=(x-1)^2(x-3)^2
=2(x-1)(1)+2(x-3)(1)
=2x-2+2x-6
f'(x)=4x-8
0=4x-8
=4(x-2)
x=2
Therefore it only has 1 horizontal tangents?
f(x)=(x-1)^2(x-3)^2
=2(x-1)(1)+2(x-3)(1)
=2x-2+2x-6
f'(x)=4x-8
0=4x-8
=4(x-2)
x=2
Therefore it only has 1 horizontal tangents?