Differentiability At A Vertical Tangent
A function is continuous at x = 2, but its graph has a vertical tangent at this point. What does this indicate about the differentiability of the function at x = 2?
A
The derivative exists but is undefined at exactly one point.
B
The graph has a removable discontinuity, so the function is not differentiable.
C
The function is differentiable, but its derivative is zero.
D
The derivative at x = 2 does not exist because the slope is infinite.
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