Formal Definition of theDerivative as a limit
f ly king thyfaff
fix
Or alternatively fax Isa
Differentiabilityand Continuity
Differentiable fico time to exists he tiff afinetitty
if fix is differentiable at x c then f is continuous at X C
Differentialble continuous
but continuous differentiable
L example
Where derivative DNE
I
I Verticletangent a
2 Not Continuous
3 Sharp Turn
Power Rule
xn nah I N O Eg E x5 5 51 5 4
Ey I 5 5 5.5 5 1 25 4
f ly king thyfaff
fix
Or alternatively fax Isa
Differentiabilityand Continuity
Differentiable fico time to exists he tiff afinetitty
if fix is differentiable at x c then f is continuous at X C
Differentialble continuous
but continuous differentiable
L example
Where derivative DNE
I
I Verticletangent a
2 Not Continuous
3 Sharp Turn
Power Rule
xn nah I N O Eg E x5 5 51 5 4
Ey I 5 5 5.5 5 1 25 4
