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Definition of Derivative Review Flashcards | StudBud

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Is the function differentiable at x = -7?

Find the slope of the line tangent to f(x) = -1/(x + 6) at x = -4

Definition of Derivative Review

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Review questions for limit definition of derivative.

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Answers

1
Find the slope of the line tangent to f(x) = -1/(x + 6) at x = -4
-3/4
3/4
-1/4
1/4
2
Is the function differentiable at x = -7?
Yes, the function is differentiable at x = -7.
No - there is a cusp at x = -7.
No - there is a discontinuity at x = -7.
No - there is a corner at x = -7.
3
Is the function differentiable at x = 0?
No, there is a discontinuity at x = 0.
No, there is a vertical tangent at x = 0.
Yes, the function is differentiable at x = 0.
No, there is a cusp at x = 0.
4
Find the derivative of 4x² - 2.
8x - 2
8x
4x
8x2 - 2
5
Is the function differentiable at x = 0?
Yes, the function is differentiable at x = 0.
No, the function has a vertical tangent at x = 0.
No, the function has a cusp at x = 0.
No, the function has a corner at x = 0.