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Definition of Derivative Review Flashcards | StudBud

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Find the slope of the line tangent to f(x) = -10x2 + 8x at x = 9.

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
1/4
-1/4
-3/4
2
Find the slope of the line tangent to f(x) = -10x² + 8x at x = 9.
-108
-243
-172
-140
3
Find the equation of the tangent line to f(x) = 48/x at x = 2.
y = -12x + 24
y = -12x
y = -24x + 72
y = -12x + 48
4
Is the function differentiable at x = 0?
No, there is a discontinuity at x = 0.
No, there is a cusp at x = 0.
No, there is a vertical tangent at x = 0.
Yes, the function is differentiable at x = 0.
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.
6
Find the equation of the tangent line to f(x) = x² - x at x = 2.
y = 3x + 6
y = 3x + 4
y = 3x - 4
y = 3x - 6
7
Is the function differentiable at x = -7?
No - there is a discontinuity at x = -7.
Yes, the function is differentiable at x = -7.
No - there is a corner at x = -7.
No - there is a cusp at x = -7.
8
Find the derivative of f(x) = x³ + 7 when x = 4.
49
-48
55
48
9
Find the derivative of 4x² - 2.
4x
8x
8x2 - 2
8x - 2