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Published byScarlett Bond Modified over 8 years ago
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Tangent Lines and Derivatives
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Definition of a Tangent Line The tangent line to the curve y=f(x) at the point P(a,f(a)) is the line through P with slope
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Finding a Tangent Line to a Hyperbola Find an equation of the tangent line at the point (3,1).
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Another way to find slope of a tangent line
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Finding a Tangent Line Find an equation of the tangent line to the curve at the point (1,2).
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Definition of a Derivative The derivative of a function is the slope of the tangent line…so….
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Finding a Derivative at a Point Find the derivative of the function at the number 2.
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Finding a Derivative Find f’(a), f’(1), f’(4), and f’(9).
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Instantaneous Rate of Change
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Instantaneous Velocity of a Falling Object If an object is dropped from a height of 3000 ft, its distance above the ground (in feet) after t seconds is given by h(t). Find the object’s instantaneous velocity after 4 seconds.
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