Free Printable Maths

1.

$If\ f^{\ '}\left(x\right)\ \ge0\ \ \ \ ,\ \forall\ x\in R\ then\ f\ is\$

a)

strictly increasing on R

b)

strictly decreasing on R

c)

increasing on R

d)

decreasing on R

2.

$The\ function\ f\left(x\right)=\ x^2-8x+12\ is\ strictly\ decrea\sin g\ in$

a)

$\left(-\infty,\ \infty\right)$

b)

$\left(2,\ 6\right)$

c)

$\left(-\infty,\ 4\right)$

d)

$\left(4,\ \infty\right)$

3.

How many extrema are in the picture?

a)

2

b)

3

c)

4

d)

5

4.

What does C represent in an antiderivative?

a)

A variable

b)

A constant

c)

None of these

d)

Unknown

5.

Integrate $\int_{ }^{ }\left(x^2+7\right)dx$

a)

$=2x+c$

b)

$=x^3+7x$

c)

$=\frac{1}{2}x^3+7x$

d)

$=\frac{1}{3}x^3+7x+c$

6.

$\int\left(\frac{4}{x}-e_{ }^x\right)dx$

a)

$\frac{4}{x^2}-xe^x+C$

b)

$4\ln\left|x\right|-e^x+C$

c)

$4\ln\left(x\right)-e^x+C$

d)

$4\ln\left|x\right|+e^x+C$

7.

If y = $ax^n$ , then $\int_{ }^{ }y\ dx\ =$

a)

$\frac{ax^{n+1}}{n+1}$

b)

$\frac{ax^{n-1}}{n-1}+\ c$

c)

$\frac{ax^{n+1}}{n}+\ c$

d)

$\frac{ax^{n+1}}{n+1}+\ c$

8.

∫ - sinx dx

a)

-cos x + C

b)

cos x + C

c)

tan x + C

d)

1/√1- x²

9.

Find $f\left(-4\right)$

a)

-2

b)

3

c)

-4

d)

undefined

10.

a)

$\pm\frac{1}{\sqrt[]{2}}$

b)

$\pm\frac{1}{\sqrt[]{5}}$

c)

$\pm\frac{1}{\sqrt[]{3}}$

d)

None

11.

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

12.

What is the derivative of y = 2π?

a)

0

b)

2

c)

-2

d)

None of the above

13.

When do you use the chain rule?

a)

anytime you want

b)

when there is a function in a function

c)

where there are multiple layers to a lasagna (yum)

d)

when there is division

14.

What rule best apply to find the derivative of y=x lnx

a)

product rule

b)

quotient rule

c)

power rule

d)

sum rule

15.

Find the derivative of $y=\log_9x$

a)

\frac{1}{\left(\log x\right)9}

b)

$\frac{\ln9}{x}$

c)

$\frac{1}{x\ln x}$

d)

$\frac{1}{\left(\ln9\right)x}$

16.

Find $\lim_{x\rightarrow-4\ }f\left(x\right)$

a)

-2

b)

3

c)

-4

d)

DNE

17.

a)

$\pm\frac{1}{\sqrt[]{2}}$

b)

$\pm\frac{1}{\sqrt[]{5}}$

c)

$\pm\frac{1}{\sqrt[]{3}}$

d)

None

18.

a)

B

b)

A

c)

C

d)

D

19.

The function f : [0, 3] -> [1, 29] defined by f(x) = 2x³ – 15x² + 36x + 1 is

(a) one-one and onto

(b) onto but not one-one

(c) one-one but not onto

(d) neither one-one nor onto

a)

A

b)

B

c)

C

d)

D

20.

a)

2

b)

3

c)

1

d)

0

Maths

Total questions: 20

Worksheet time: 46mins

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