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DERIVATIVE-Chain Rule

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.
Differentiate y= x3 + 2x
a)
3x3+2x
b)
3x2+2
c)
3x+2
d)
3x
2.

ddx[x3]\frac{\text{d}}{\text{d}x}\left[x^3\right]  

a)

6x6x  

b)

3

c)

3x23x^2  

d)

6

3.
Find the derivative of the given equation
f(x) = 7
a)
7
b)
0
c)
7x
d)
14
4.
Find the derivative of the given equation
f(x) = -4x
a)
4
b)
x
c)
-4
d)
0
5.
Find the derivative of the given equation
f(x) = 1 - x2
a)
1 - 2x
b)
-2x
c)
-2
d)
-1
6.
Find the derivative of the given equation
f(x) = x3 + x2 + 3
a)
3x2 + 2x
b)
3x + 2x 
c)
3x + 2x + 3
d)
x3 + x2 
7.
What is the derivative of sin(x)?
a)
-sin(x)
b)
-cos(x)
c)
cos(x)
d)
sin(x)
8.

dydx if y=e(7−9x)\frac{dy}{dx}\ if\ y=e^{\left(7-9x\right)}  Find

a)

−9e(7−9x)-9e^{\left(7-9x\right)}  

b)

e−9e^{-9}  

c)

−9ln⁡(7−9x)-9\ln\left(7-9x\right)  

d)

7e(7−9x)7e^{\left(7-9x\right)}  

9.
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
10.

What rule should be used in deriving h(x) = 2(x - 4)3

a)

Power rule

b)

Product rule

c)

Quotient rule

d)

Chain rule