Differentiation
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is differentiation?
Back
Differentiation is a mathematical process used to find the rate at which a function is changing at any given point, represented by the derivative.
2.
FLASHCARD QUESTION
Front
What is the derivative of y = 3x^2 - 4x + 2?
Back
6x - 4
3.
FLASHCARD QUESTION
Front
What is the derivative of y = 5x^4?
Back
20x^3
4.
FLASHCARD QUESTION
Front
How do you find the equation of the tangent line to a curve at a given point?
Back
To find the equation of the tangent line, calculate the derivative at the point to find the slope, then use the point-slope form of the line.
5.
FLASHCARD QUESTION
Front
What is the derivative of f(x) = x^3 + x^2 + 3?
Back
3x^2 + 2x
6.
FLASHCARD QUESTION
Front
Given f(x) = 3x^2 + 2x, find the gradient of the tangent where x = -3.
Back
-16
7.
FLASHCARD QUESTION
Front
What is the power rule in differentiation?
Back
The power rule states that if f(x) = x^n, then f'(x) = n*x^(n-1).
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