Tangent and physical meaning of derivative test, 12 grade

Question Nr. 1 out of 10

What can be stated if f′(a) = 0?

The function is constant everywhere

The tangent is horizontal, but the point need not be an extremum

The function value is zero

It is always a maximum

Question Nr. 2 out of 10

Which formula describes the tangent line at x = a?

y = f(a)x

y = f'(a)

y − a = f(a)(x − f'(a))

y − f(a) = f'(a)(x − a)

Question Nr. 3 out of 10

Position is s(t) = 3t² + (-2)t. Find velocity at t = 3.

-18 m/s

96 m/s

16 m/s

14 m/s

49 m/s

Question Nr. 4 out of 10

For f(x) = 1x² + (1)x, find the tangent slope at x = 0.

-55

-18

-46

1

27

Question Nr. 5 out of 10

What does a negative derivative of position mean at an instant?

The position is decreasing at that instant

Acceleration must be positive

The object is necessarily stopped

Position equals zero

Question Nr. 6 out of 10

How are position and velocity related in a motion problem?

Position is always velocity squared

Velocity is the area of position

Velocity is the derivative of position with respect to time

Time is the derivative of velocity

Question Nr. 7 out of 10

How are position and velocity related in a motion problem?

Velocity is the derivative of position with respect to time

Position is always velocity squared

Velocity is the area of position

Time is the derivative of velocity

Question Nr. 8 out of 10

Find the tangent equation to f(x) = 2x² at x = -3.

y = -12x − 18

y = 2x − 3

y = -12x + 18

y = 12x − 18

Question Nr. 9 out of 10

Velocity is v(t) = 3t + (-9). Find acceleration.

-1 m/s²

7 m/s²

3 m/s²

10 m/s²

0 m/s²

Question Nr. 10 out of 10

For f(x) = 5x² + (7)x, find the tangent slope at x = 3.

37

-50

42

-53

-69

Test: Tangent and physical meaning of derivative

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Sample questions

Test: Tangent and physical meaning of derivative

Question Nr. 1 out of 10

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Sample questions

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