Question 87218
lim( h -> 0 ) ( f(a + h) - f(a) ) / h
lim( h -> 0 ) ( -3(a + h)^2 + (a + h) - 11 + 3a^2 - a + 11 ) / h
lim( h -> 0 ) ( -3(a^2 + 2ah + h^2) + a + h - 11 + 3a^2 - a + 11 ) / h
lim( h -> 0 ) ( -3a^2 - 6ah - 3h^2 + h + 3a^2 ) / h
lim( h -> 0 ) ( -6ah - 3h^2 + h ) / h
lim( h -> 0 ) -6a - 3h + 1
~Derive~
lim( h -> 0 ) -6a - 3(0) + 1 = -6a + 1