Free Printable Aku & Maths: Takkan Terpisah (LEVEL 1)

1.

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

a)

Power rule

b)

Product rule

c)

Quotient rule

d)

Power Rule

2.

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

3.

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

a)

product rule

b)

quotient rule

c)

power rule

d)

sum rule

4.

Which one is the correct formula for The First Principle of Differentiation ?

a)

$f'\left(x\right)=\lim_{h\rightarrow0}\frac{f\left(x+h\right)+f\left(x\right)}{h}$

b)

$f'\left(x\right)=\lim_{h\rightarrow0}\ \frac{f\left(x\right)+f\left(x+h\right)}{h}$

c)

$f'\left(x\right)=\lim_{h\rightarrow0}\ \frac{f\left(x+h\right)-f\left(x\right)}{h}$

d)

$f'\left(x\right)=\lim_{h\rightarrow0}\ \frac{f\left(x\right)-f\left(x+h\right)}{h}$

5.

Which rule would you need to use?

a)

Power Rule

b)

Product Rule

c)

Quotient Rule

d)

Chain Rule

6.

Choose the best rule to derive the function.

a)

Product rule

b)

Quotient rule

c)

Power rule

d)

Chain rule

7.

If $f\left(x\right)=3x^2+2x$ , choose the correct formula of $f'\left(x\right)$ by using the first principles.

a)

$\lim_{h\rightarrow0}\ \frac{\left(3x^2+2x\right)-\left(3\left(x+h\right)^2+2\left(x+h\right)\right)}{h}$

b)

$\lim_{h\rightarrow0}\ \frac{3\left(x+h\right)^2+2\left(x+h\right)-3x^2+2x}{h}$

c)

$\lim_{h\rightarrow0}\ \frac{3\left(x+h\right)^2+2\left(x+h\right)-3x^2-2x}{h}$

d)

$\lim_{h\rightarrow0}\ \frac{3\left(x+h\right)^2+2\left(x+h\right)}{h}$

8.

Differentiation also knows as

a)

Comparison

b)

Integration

c)

Derivatives

d)

Multiplication

9.

Given are rules of differentiation except

a)

Quotient Rules

b)

Chain Rules

c)

Break Rules

d)

Product Rules

10.

Which of the following is the correct definition of the Power Rule of derivatives?

a)

Given $f\left(x\right)=x^n$ , $f'\left(x\right)=x^{n-1}$

b)

Given $f\left(x\right)=x^n$ , $f'\left(x\right)=nx^{n-1}$

c)

Given $f\left(x\right)=x^n$ , $f'\left(x\right)=\frac{x^{n-1}}{n}$

d)

Given $f\left(x\right)=x^n$ , $f'\left(x\right)=\frac{n}{x^{n-1}}$

11.

What is the derivative of 0?

a)

You can't take the derivative of 0.

b)

0

c)

This is all derivative.

d)

Any constant

12.

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

13.

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

a)

Power rule

b)

Product rule

c)

Quotient rule

d)

Chain rule

14.

What rules should be used in deriving h(x) = $\left(\sin3x\right)^4$

(not arranged by steps of differentiation)

a)

RD 3, RD 8 & RD 11

b)

RD 4, RD 5 & RD 6

c)

RD 9, RD 10 & RD11

d)

RD 2, RD 3, RD 11

15.

What rule should be used in deriving h(x) = $\frac{3}{4x}$

a)

RD 3 & RD2

b)

RD 5 & RD6

c)

RD 6 & RD 2

d)

RD 8 & RD 2

16.

What rule should be used in deriving f(x) = x⁵

a)

Constant rule

b)

Sum rule

c)

Power rule

d)

Difference rule

17.

How much do you love mathematics ?

a)

suka sangat2

b)

mathematics? Yang ada nombor tu kan

c)

#siscuba

d)

biasa2 je

Aku & Maths: Takkan Terpisah (LEVEL 1)

Total questions: 17

Worksheet time: 18mins

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