The following solution, based on just the Context Panel, obtains . The modifications necessary for obtaining should be obvious.
Solution via the Context Panel
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Write the equation defining .
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Context Panel: Differentiate≻Implicitly
Complete dialog as per Figure 4.3.21(a)
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Figure 4.3.21(a) Implicit Differentiation dialog
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Alternatively, use the Implicit Differentiation task template displayed in Table 4.3.21(a). Make the obvious modifications to obtain instead of .
Tools≻Tasks≻Browse:
Calculus - Differential≻Derivatives≻Implicit Differentiation≻
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Implicit Differentiation with Three Variables
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Enter equation:
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Obtain :
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Stepwise Calculation:
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Replace with :
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Apply :
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Isolate :
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Replace with :
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Table 4.3.21(a) Implicit differentiation task template
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It is also possible to implement a solution from first principles via the Context Panel system, as shown below in Table 4.3.21(b).
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Write the equation defining .
Press the Enter key.
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Context Panel: Evaluate at a Point≻
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Context Panel:
Solve≻Isolate Expression for≻diff(z(x,y),x)
(See Figure 4.3.21(b))
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Figure 4.3.21(b) Isolate via Context Panel
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Table 4.3.21(b) Context Panel implementation of implicit derivative via first principles
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