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

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

x^2

x

2

x^3
2 Question
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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
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Q.

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

-sin(x)

-cos(x)

cos(x)

tan(x)
4 Question
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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
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Q.

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

6

9x^2 - 2

18x^2

18x
6 Question
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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
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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
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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
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Q.

 If f(x) = x^5, what is f' (2) ?

20

40

32

10
10 Question
vor 30 Sekunden
Q.

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

0

2

4

−2