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Implicit Derivatives
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Given the equation
How do we find ?
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Let's check to see if implicit differentiation is reasonable.
Differentiate in two ways.
Implicit
Explicit
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EX 1 Find for the following equations.
a)
b) 9x2+4y2 = 36
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To convince ourselves that is works, let's look at a familiar equation.
Find the equation of the tangent line at the point (-4,3) on this circle.
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EX 2 Find the equation of the tangent line at the indicated point.
at (1,0)
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Power Rule (revisited): Basically the power rule can now be used with rational exponents.
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EX 3 Find y' if
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