
Derivatives - Product and Chain Rule
Authored by Alicia Martinez
Mathematics
10th - 12th Grade
CCSS covered
Used 3+ times

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14 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find y' if y = tan(3x2+2).
Tags
CCSS.HSF.IF.A.2
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Differentiate:
f(x) = x7 (5 + 8x)3
Tags
CCSS.HSA.APR.A.1
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the derivative
f(t) = sin(x)(x2 + 2x)5
f'(x) = -cos(x)*(x2 + 2x)5+ (10x+10)sin(x)*(x2 + 2x)4
f'(x) = cos(x)*(x2 + 2x)5+ (10x+10)sin(x)*(x2 + 2x)4
f'(x) = cos(x)*(x2 + 2x)5+ 10xsin(x)*(x2 + 2x)4
f'(x) = cos(x)*(x2 + 2x)5 - (10x+10)sin(x)*(x2 + 2x)4
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the derivative of f(x) = 3x2(x6 + 4)5
f '(x) = 6x(x6 + 4)5 + 90x7(x6 + 4)4
f '(x) = x(x6 + 4)5 + 90x7(x6 + 4)4
f '(x) = 6x(x6 + 4)5 + 30x7(x6 + 4)4
f '(x) = 6x(x6 + 4)5 + 90x(x6 + 4)4
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the derivative of f(x)=4x(x3-2x)2
4(x3-2x)2 +8x(x3-2x)(3x2 + 2)
4(x3+ 2x)2 +8x(x3-2x)(3x2 - 2)
4(x3-2x)2 +8x(x3-2x)(3x2 - 2)
4(x3-2x)2 +8(x3-2x)(3x2 - 2)
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
find y' for y= 3(2x+1)10
30(2x+1)9
60(2x-1)9
30(2x+1)10
60(2x+1)10
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
find y' for y= 3xsin(2x2)
3sin(2x2) -12xcos(2x2)
3sin(2x2) +4xcos(2x2)
sin(2x2) +12xcos(2x2)
3sin(2x2) +12xcos(2x2)
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