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Worksheets

CALCULUS

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.
What is the derivative of cot(x)?
a)
sec2(x)
b)
-sec2(x)
c)
csc2(x)
d)
-csc2(x)
2.
What is the derivative of cos(x)?
a)
sin(x)
b)
-sin(x)
c)
cos(x)
d)
-cos(x)
3.

Which of the following is true?

a)

the derivative is a way to show rate of change, that is - the amount by which a function is changing at one given point

b)

dx/dy is the derivative

4.

Rate of change is another way of saying...

a)

The gradient

b)

The slope

c)

dy/dx

5.
a)
b)
c)
d)
6.
a)
A
b)
B
c)
C
d)
D
7.

Find f’(x) when f(x) = sin(4x+5)

a)

3cos(3x)

b)

4sin(4x+5)

c)

4cos(4x+5)

d)

4sin(4x)

8.

What is the acceleration function for the particle whose position is defined by s(t) = 3t * lnt

a)

a(t) = ln(x) +3

b)

a(t) = 3/x

c)

a(t)= 3ln(x)+1

d)

a(x)= 3ln(x) + 3

9.

 ∫undu=\int u^ndu=  

a)

 ln⁡u+C\ln u+C  

b)

 un+1+Cu^{n+1}+C  

c)

 un+1n+1+C\frac{u^{n+1}}{n+1}+C  

d)

 un−1+Cu^{n-1}+C  

10.

 ddx(ln⁡∣x∣)=\frac{\text{d}}{\text{d}x}\left(\ln\left|x\right|\right)=  

a)

 exe^x  

b)

 −x−1-x^{-1}  

c)

 −x−2-x^{-2}  

d)

 1∣x∣\frac{1}{\left|x\right|}