Calculus 1 - Equation of the Tangent Line

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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CCSS.8.EE.B.5

• y = 5x + 7

• y = -5x - 7

• y = -7x + 5

• y = 7x + 5

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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CCSS.HSF.IF.B.6

• y = 10x - 5

• y = -10x - 5

• y = -20x +20

• y = 20x - 20

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line

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CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Find the slope at x = 3 of the equation f(x) = 3x²

• 6x

• 27

• 18

• 3x

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CCSS.8.EE.B.5

What is the equation of the line tangent to the curve y = x² at x = 1?

• y = 2x + 1

• y = 2x - 1

• y = -2x + 1

• y = x - 1

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CCSS.HSF.IF.B.4