Search Header Logo

Chapter 2 Differentiation (2.2)

Authored by Buku Teks Matematik Tambahan T

Mathematics

1st - 5th Grade

Used 252+ times

Chapter 2 Differentiation (2.2)
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

    Content View

    Student View

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is not the function for the first order derivative of  f(x)=1x2f'\left(x\right)=-\frac{1}{x^2} 

 f(x)=1xf\left(x\right)=\frac{1}{x}  

 f(x)=1xxf\left(x\right)=\frac{1-x}{x}  

 f(x)=x+1xf\left(x\right)=\frac{x+1}{x}  

 f(x)=xx+1f\left(x\right)=\frac{x}{x+1}  

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given  y=x36x2+9x5y=x^3-6x^2+9x-5 , the range value of x where  dydx>0 \frac{dy}{dx}>0\   is

x < -3 or x > 1

x < 1 or x > 3

-3 < x < -1

1 < x < 3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The gradient of the curve y=(3x+2)(2x1)y=\left(3x+2\right)\left(2x-1\right) at point (-1, 3) is 

-11

-6

3

9

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following coordinates on the curve y=2x2x3y=2x^2-x-3 has its gradient of the tangent equal to 7?

 (2,3)\left(-2,-3\right)  

 (2,3)\left(-2,3\right)  

 (2,3)\left(2,-3\right)  

 (2,3)\left(2,3\right)  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The gradient of the curve y=ax+bxy=ax+\frac{b}{x} at the point   (1,3)\left(-1,-3\right) is -7. Find the values of a and b.

a = -2, b = 5

a = -2, b = -5

a = 2, b = 5

a = 5, b = 2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The first derivative for the function f(x)=832x35f\left(x\right)=\frac{8}{3}\sqrt{2x^3-5} is  

 432x35\frac{4}{3\sqrt{2x^3-5}}  

 12x22x35\frac{12x^2}{\sqrt{2x^3-5}}  

 8x22x35\frac{8x^2}{\sqrt{2x^3-5}}  

 8x2x35\frac{8x}{\sqrt{2x^3-5}}  

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f(x)=(3x1)13f\left(x\right)=\left(3x-1\right)^{\frac{1}{3}} , then the value for  f(3)f'\left(3\right) is 

 112\frac{1}{12}  

 14\frac{1}{4}  

 1212  

 44  

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?