12th AP Cal product and quotient rule

12th AP Cal product and quotient rule

12th Grade

13 Qs

quiz-placeholder

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12th AP Cal product and quotient rule

12th AP Cal product and quotient rule

Assessment

Quiz

Mathematics

12th Grade

Medium

CCSS
HSF.TF.C.8, HSF.IF.A.2

Standards-aligned

Created by

Jimmy Bodden

Used 21+ times

FREE Resource

13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given f (x) = 5sinx + 3x3cosx, f '(x) =
-5cosx − 3x3sinx + 9x2cosx
5sinx − 3x3sinx + 9x2cosx
5cosx − 3x3sinx + 9x2cosx
5cosx + 3x3sinx + 9x2cosx

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the derivative of g(x)=(3x-2)/(x2+2)
3/(2x)
(-3x2-4x +6)/(x2+2)2
(-3x2+4x +6)/(x2+2)2
(-3x2+10)/(x2+2)2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find horizontal tangent lines?
Find where the derivative is undefined
Find where the derivative equals zero
Find where the derivative is 1
Find where the derivative is negative

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Derivative means the same thing as
slope of the tangent line
slope of the normal line
exponent
slope of the secant line

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given that the position function for a particular object is given by 
s(t) = t- 3t +5, find the acceleration of the object at t = 2 seconds. 
27
12
6
-2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Use the product rule to determine the derivative.

4x8+60x6+12x3

12x7+36x2

32x7+36x2

20x6

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x5 + 5)2
y = 500x + 400
y = 100x + 400
y = -500 x - 400
y = 500x - 400

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