Summative Test: Basic Concepts of Derivatives
Quiz by Dan Russell Ventura
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- Q130sSTEM_BC11D - IIIf-1
- Q2
A function whose graph is otherwise continuous will fail to have a derivative at a point where the graph has a...
corner, curve, vertical tangent, discontinuity
corner, curve, horizontal tangent, continuity
corner, cusp (point or edge), vertical tangent, discontinuity
corner, cusp (point or edge), horizontal tangent, continuity
30sSTEM_BC11D - IIIf-1 - Q3
Where is the graph continuous yet NOT differentiable?
x = b, d
x = a, b
x = b, c, d
x = a, b, c, d
30sSTEM_BC11D - IIIf-1 - Q430sSTEM_BC11D - IIIf-1
- Q5
Differentiability implies continuity.
True
Cannot be determined
False
Sometimes
30sSTEM_BC11D - IIIf-1 - Q630sSTEM_BC11D-IIIf3
- Q730sSTEM_BC11D-IIIf3
- Q830sSTEM_BC11D-IIIf3
- Q930sSTEM_BC11D-IIIf3
- Q1030sSTEM_BC11D-IIIf3
- Q11
The function in the graph shown below...
is continuous and differentiable at x = 2
is not continuous but differentiable at x = 2
has a limit that does not exist at x = 2
is continuous but not differentiable at x = 2
30sSTEM_BC11D - IIIf-1 - Q12
Which of the following would be a valid reason that the function is non-differentiable at x = 0?
The graph contains a discontinuity.
The graph contains a corner.
The graph contains a vertical tangent.
The graph contains a cusp (edge or point).
30sSTEM_BC11D - IIIf-1 - Q13
What prevents an equation from being differentiable?
Jump discontinuity
Cusp
All of these
Vertical tangent line
30sSTEM_BC11D - IIIf-1 - Q1430sSTEM_BC11D - IIIf-1
- Q15
The function shown in the graph...
is differentiable at x = 4
is continuous at x = 4
is continuous and differentiable at x = 4
has a limit that exists at x = 4
30sSTEM_BC11D - IIIf-1
