Derivative Of A Function
8 Questions
| Attempts: 364
. How are a function and its derivative related? When does the derivative not exist?
Questions and Answers
- 1.Check all of the options which represent the derivative of f(x) = x4.
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
- F.
Option 6
- G.
Option 7
- 2.
Estimate G'(7) from the graph of G(x).- A.
0.2
- B.
0.5
- C.
1
- D.
2
- E.
5
- 3.
At which values of x does the derivative of the graphed function not exist?
- A.
X = –6
- B.
X = –4
- C.
X = –2
- D.
X = –1
- E.
X = 0
- F.
X = 2
- G.
X = 3
- H.
X = 4
- 4.STATEMENT: All continuous functions are differentiable.
- A.
True
- B.
False
- 5.All differentiable functions are continuous.
- A.
True
- B.
False
- 6.If a function has a discontinuity at x = a, then the function does not have a derivative at x = a.
- A.
True
- B.
False
- 7.The derivative does not exist at a cusp, but it does exist at a corner.
- A.
True
- B.
False
- 8.You have practiced applying algebraic techniques to find the derivative of functions from the definition of derivative (limit of a difference quotient).
- A.
True
- B.
False
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