Definition of Derivatives and Slope of Tangent Line

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15x^2

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Front

Find the slope of the tangent line at x=2 for the function f(x) = 3x² - 5.

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12

Front

When you plug a given point into the derivative of a function, you get this.

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slope

Front

This is a line that touches the function at a given point and has a slope that is equal to the instantaneous rate of change at a given point.

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tangent line

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Front

Find the derivative of the given function
f(x) = 7

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0

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Front

Equation of the tangent line through the point for the given equation.

Back

y - 2 = 9(x-3)

Front

Using the table, find the equation of the tangent line to f(x) at x=4.

Back

y + 1 = 2(x - 4)