Tangents to a Curve at Specific Points

Tangents to a Curve at Specific Points
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Using calculus fundamentals, find the equation of the line tangent to a given curve at points 4,0 and 2,14 with no calculator.

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Slide1Unit 6 – Fundamentals of CalculusSection 6.4 – The Slope of a Curve No Calculator

Slide2Given the curve:x f(x) x+h f(x+h)

Slide3Given, find the equation of the line tangent to the curve at ( 4 , 0). _ h h

Slide4Given, find the equation of the line tangent to the  curve at ( 2 , 14). _ h h

Slide5Given, find the equation of the line tangent to the curve at x = –1 _ h h

Slide6Given, find the equation of the line tangent to the curve at x = 0 _ h h

Slide7Given, find the equation of the line tangent to the curve at x = 0