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Derivatives & Antiderivatives Flashcards | StudBud

Explore/Derivatives & Antiderivatives

Derivatives & Antiderivatives

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Calculus - Derivatives & Antiderivatives

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Questions 7

Answers

1
Find the Derivative of y = x³ - 5x + 8x^-1
y' = 3x2 - 5
y' = 3x2 - 5 + 8x0
y' = 3x2 - 5 - 8x-2
y' = 3x2 - 5 - 8x0
2
Do you know the pattern to find a Derivative?????
Yes, absolutely : )
Kind of
No, I wish : (
What is the question?
3
Find the Derivative of y = 3x⁴ - 7x³ + 8x² - x + 12
y' = 3x3 - 7x2 + 8x - 1
y' =12x3 - 21x2 + 16x
y' = 12x3 - 21x2 + 16x - 1
y' = 12x3 - 21x2 + 8x - 1
4
Do you see a pattern to find Antiderivatives?????
No, No idea
Kind of
Yes, absolutely
What is the question?
5
What is the Antiderivative of y^' = 8x³ - 15x² - 4x + 9?
y = 24x2 - 30x - 4
y = 2x4 - 5x3 - 2x2 + 9
y = 2x4 - 5x3 - 2x2 + 9x - 1
y = 3x4 - 7x3 - 2x2 + 9x
6
Find the Antiderivative of y^' = 4x³ - 12x² - 8x + 12
y = 2x4 - 6x3 - 4x2 + 12x
y = 12x2 - 24x - 8
y = x4 - 4x3 - 4x2 + 12x + 7
y = x4 - 3x3 - 8x2 + 12x - 9
7
Now let's find the Antiderivative. If y^' = 9x² - 4x + 6, what must y = ?
y = 3x3 - 2x2 + 6x + 12
y = 18x - 4
y = 3x3 - 2x2 + 6
y = 9x3 - 4x2 + 6x