Free Printable small increment and approximation

1.

$y=3x^2\ +2x\ -4$
Find $\frac{\text{d}y}{\text{d}x}$ ,

a)

$\frac{\text{d}y}{\text{d}x}=3x^2\ +1$

b)

$\frac{\text{d}y}{\text{d}x}=3x^{ }\ +x$

c)

$\frac{\text{d}y}{\text{d}x}=6x^{ }+2$

d)

$\frac{\text{d}y}{\text{d}x}=6x^{ }+2-4$

2.

$\delta x$ is

a)

small changes in y

b)

small changes in x

c)

small changes in axis

d)

big changes in xy

3.

$y=5x^{6\ }+\ 7x-2$

$find\ \frac{dy}{dx}$

a)

$\frac{dy}{dx}=30x^6+7$

b)

$\frac{dy}{dx}=30x^5+7$

c)

$\frac{dy}{dx}=56x^5+7x$

d)

$\frac{dy}{dx}=0$

4.

$\delta y$

a)

delta y

b)

delta x

c)

delta dy

d)

alpha y

5.

approximation is

a)

find delta $y$

b)

find $\partial y$

c)

find new $y$

d)

find $\frac{dy}{dx}$

6.

$y=34x+2$

find\ \frac{dy}{dx}

a)

$\frac{dy}{dx}=34x$

b)

$\frac{dy}{dx}=34$

c)

$\frac{dy}{dx}=34+2$

d)

$\frac{dy}{dx}=34x^2$

7.

small increment and ........?

a)

approtimation

b)

approxemation

c)

aproximation

d)

approximation

8.

The radius of a circle increase from 4cm to 4.002cm.Find $\delta x$

a)

0.0002

b)

0.002

c)

0.02

d)

-0.002

9.

$y$ New = $y$ Original +?

a)

$\delta y$

b)

$\text{d}y$

c)

$\text{}\frac{dx}{dy}$

d)

$\frac{\delta x}{\delta y}$

10.

Given $y$ = $x^3$ , Find $y$ when $x=5$

a)

15

b)

53

c)

125

d)

115

small increment and approximation

Total questions: 10

Worksheet time: 5mins

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