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Implicit differentiation inquiry

Inquiry Maths

 

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Inquiry prompt

 

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Structured inquiry

Lines of inquiry

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Possible approaches

  • Rearrange to change the subject of the formula (using factorisation)
  • Square root both sides of the equation
  • Complete the square.

 

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Inquiry Maths

Link – differentiating the equation.

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Complete the square

 

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Inquiry Maths

2. If you use the quotient rule on an explicit equation and then rearrange the equation to use the product rule, do you always get different derivatives?

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Make up your own examples.

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Inquiry Maths

Quotient rule

Product rule

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2. If you use the quotient rule on an explicit equation and then rearrange the equation to use the product rule, do you always get different derivatives?

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Inquiry Maths

3. How do you differentiate an equation if the dependent variable is not isolated on one side?

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Inquiry Maths

3. How do you differentiate an equation if the dependent variable is not isolated on one side?

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Implicit differentiation

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Inquiry Maths

3. How do you differentiate an equation if the dependent variable is not isolated on one side?

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4. Generate examples using different types of equations.

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Quotient rule

Product rule

Algebraic

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Logarithmic

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Trigonometric

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Hyperbolic

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4. Generate examples using different types of equations.

Link to the other solutions.

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Inquiry Maths