8. Differentiation
Interactive practice questions
Which of the following functions are differentiable over their entire domain?
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A
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B
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C
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D
Easy
< 1min
Consider the graph of the function $f\left(x\right)=2x+2$f(x)=2x+2 shown below.
Easy
2min
| Consider the graph of the function $f\left(x\right)$f(x) | $=$= |  |
$-x^2+4$−x2+4 | when $x\ge0$x≥0 |
| $x^2+4$x2+4 | when $x<0$x<0 |
Easy
1min
| Consider the graph of the function $f\left(x\right)$f(x) | $=$= |  |
$\frac{x^3-x}{x^2-1}$x3−xx2−1 | when $x\ne\pm1$x≠±1 |
| $1$1 | when $x=-1$x=−1 | |||
| $4$4 | when $x=1$x=1 |
Easy
< 1min
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