Derivatives
Implicit derivation
Examples:
1)
2) Find the tangent line to the hyperbola x2 – y2 = 16 at the point (5,3)
Exercises:
1.- Find the derivative of these functions:
a) x·y = 4
b) x2 - y3 = 0
2.- Let the circumference x2 + y2 = 52
a) Find the tangent to the circumference at the point (3,4).
b) Find the horizontal tangents to the circumference.
Solutions:
1.- a) y' = -4/x2; b) y' = 2x/(33√x4)
2.- a) y - 4 = -3/4 (x - 3); b) y = ±5
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