What is differentiation used to find?

4.15 differentiation & integration

Passage
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Mathematics
•
Professional Development
•
Hard
Alessandro DiDomenico
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The total area under a curve
The instantaneous rate of change of a function
The maximum value of a function
The sum of all values of a function
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What does the gradient of a straight line represent in the context of income?
The instantaneous rate of change of income
The total income over a period
The decrease in income over time
The increase in income by $15 every hour
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How does differentiation relate to non-linear functions?
It calculates the total area under the curve
It finds a constant rate of change
It finds the varying rate of change at every point on the graph
It simplifies the function to a linear form
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is necessary to differentiate functions in exams?
Being familiar with differentiating functions, but not memorizing as they are given in the exam
Using a calculator for all differentiation problems
Understanding the concept without calculations
Memorizing all standard differentials
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the practical application of differentiation in engineering?
Determining velocity as the rate of change of position with respect to time
Predicting future trends in engineering designs
Calculating the volume of materials
Designing structures based on their shapes
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the reverse process of differentiation?
Integration
Subtraction
Division
Multiplication
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Why do we add a constant 'c' when integrating?
To account for the unknown initial value
It's a mathematical tradition without real purpose
To make the integral look more complex
Because it represents the speed of integration
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