Home Quiz Hey genius!! play the ultimate quiz on - Differential calculus!!
Preview (10 questions)
1 Question
30 sekund temu
Q.

What is the derivative of f(x) = x^2 ?

x^2

x

2

x^3
2 Question
30 sekund temu
Q.

 The slope of the tangent line to the curve at any point is given by what?

The value of the function

The derivative of the function

The second derivative of the function

The integral of the function  
3 Question
30 sekund temu
Q.

 What is the derivative f(x) = sin(x) ?

-sin(x)

-cos(x)

cos(x)

tan(x)
4 Question
30 sekund temu
Q.

Who is credited with significant advancements in the use of infinitesimals to compute rates of change?

Euclid

Sharaf al-Dīn al-Tūsī

Apollonius of Perga

Bhāskara II

5 Question
30 sekund temu
Q.

 What is the second derivative of f(x)= 3x^3 - 2x + 5 ?

6

9x^2 - 2

18x^2

18x
6 Question
30 sekund temu
Q.

 What is the purpose of finding the first derivative of a function?

To determine the function's intersection points.

To find the slope of the tangent line.

To calculate the area under the curve.

To find the function's limit.
7 Question
30 sekund temu
Q.

 For, f(x) = x^2 + 4x + 5, what type of critical point does it have?

Minimum

Inflection point

Maximum

No critical point
8 Question
30 sekund temu
Q.

 Which of the following is a necessary condition for f(x) to have a local maximum?

f′′(x)<0

f′ is continuous

f′(x)=0

Both A and C

9 Question
30 sekund temu
Q.

 If f(x) = x^5, what is f' (2) ?

20

40

32

10
10 Question
30 sekund temu
Q.

 If f(x) = x^2 - 4, what is the slope of the tangent line at x = 2 ?

0

2

4

−2