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**Equation of a Tangent Line**

example 4 Equation of a Tangent Line Calculus can be used to find the slope of the tangent to a curve, and then we can write the equation of the tangent line. If the slope of the line tangent to the graph of at (1, 1) is 2, write the equation of this line. (1,1) x y Chapter 8.5 2009 PBLPathways

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**Calculus can be used to find the slope of the tangent to a curve, and then we can write**

the equation of the tangent line. If the slope of the line tangent to the graph of at (1, 1) is 2, write the equation of this line. (1,1) x y

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**Calculus can be used to find the slope of the tangent to a curve, and then we can write**

the equation of the tangent line. If the slope of the line tangent to the graph of at (1, 1) is 2, write the equation of this line. (1,1) x y

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**Calculus can be used to find the slope of the tangent to a curve, and then we can write**

the equation of the tangent line. If the slope of the line tangent to the graph of at (1, 1) is 2, write the equation of this line. (1,1) x y

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**Calculus can be used to find the slope of the tangent to a curve, and then we can write**

the equation of the tangent line. If the slope of the line tangent to the graph of at (1, 1) is 2, write the equation of this line. (1,1) x y

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**Calculus can be used to find the slope of the tangent to a curve, and then we can write**

the equation of the tangent line. If the slope of the line tangent to the graph of at (1, 1) is 2, write the equation of this line. (1,1) x y

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Differentiation. f(x) = x 3 + 2x 2 – 3x + 5 f’(x) = 3x 2 + 4x - 3 f’(1) = 3 x 1 2 + 4 x 1 – 3 = 3 + 4 – 3 = 4 If f(x) = x 3 + 2x 2 –

Differentiation. f(x) = x 3 + 2x 2 – 3x + 5 f’(x) = 3x 2 + 4x - 3 f’(1) = 3 x 1 2 + 4 x 1 – 3 = 3 + 4 – 3 = 4 If f(x) = x 3 + 2x 2 –

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