Differentiability Calculator
Check if a function is differentiable at a point using left and right derivatives.
Function & Test Point
Quick Examples
f(0) = 0
Result at x = 0
DIFFERENTIABLE
f'(0) = 0
Derivative Analysis
Continuous?Yes
Right derivative f'⁺(0)0.00001
Left derivative f'⁻(0)-0.00001
Derivatives equal?Yes
Tangent Line at x = 0
y = 0x + 0
Convergence of Difference Quotients
| h | Right: [f(a+h)-f(a)]/h | Left: [f(a)-f(a-h)]/h | Symmetric: [f(a+h)-f(a-h)]/(2h) |
|---|---|---|---|
| 0.1 | 0.1 | -0.1 | 0 |
| 0.01 | 0.01 | -0.01 | 0 |
| 0.001 | 0.001 | -0.001 | 0 |
| 0.0001 | 0.0001 | -0.0001 | 0 |
| 0.00001 | 0.00001 | -0.00001 | 0 |