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WorksheetsChain rule
Total questions: 10
Worksheet time: 30mins
Name
Class
Date
1.
Find the derivative of f(x) = (x6 + 4)5
a)
f '(x) = 5x5(x4 + 4)4
b)
f '(x) = 6x5(x6 + 4)4
c)
f '(x) = 30x5(x6 + 4)4
d)
f '(x) = 30x6(x6 + 4)4
2.
Find the derivative of f(x)=(x3-2x)2
a)
6x5 - 12x3+8x
b)
6x5 - 16x3+8x
c)
x6-4x4+4x2
d)
6x5 - 16x3-8x
3.
a)
A
b)
B
c)
C
d)
D
4.
find y' for y=(e5x)+1
a)
5e5x+1
b)
e5x
c)
5e5x
d)
1
5.
find y' for y= sin(2x2)
a)
4sin(2x2)
b)
4xcos(2x2)
c)
2xcos(2x2)
d)
xcos(4x2)
6.
a)
b)
c)
d)
7.
Find the derivative.
f(z) = 1/(3z2) + 4z3
f(z) = 1/(3z2) + 4z3
a)
f'(z) = 6z3 + 12z2
b)
f'(z) = 6z + 12x2
c)
f'(z) = -2/(3z3) + 12z2
d)
f'(z) = -6/z2 + 12z2
8.
Find dtdv if v=t+t8
a)
1−t28
b)
1−t8
c)
t−t28
d)
1+t28
9.
Find dqdp if p=q+91
a)
−2(q+9)231
b)
2(q+9)231
c)
−(q+9)231
d)
−q+91
10.
dtdy if y=cos10t+12 Find
a)
10t+12−5sin10t+12
b)
210t+12−1sin10t+12
c)
−sin10t+12
d)
−sin(10t+125)
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