Hp 50g Graphing Calculator Manual do Utilizador descarregar pdf (Página 441)

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To evaluate the derivative in the Equation Writer, press the up-arrow key —,

four times, to select the entire expression, then, press @EVAL. The derivative will

be evaluated in the Equation Writer as:

The chain rule

The chain rule for derivatives applies to derivatives of composite functions. A

general expression for the chain-rule is d{f[g(x)]}/dx = (df/dg)⋅ (dg/dx). Using

the calculator, this formula results in:

The terms d1 in front of g(x) and f(g(x)) in the expression above are

abbreviations the calculator uses to indicate a first derivative when the

independent variable, in this case x, is clearly defined. Thus, the latter result is

interpreted as in the formula for the chain rule shown above. Here is another

example of a chain rule application:

Note: The symbol ∂ is used formally in mathematics to indicate a partial

derivative, i.e., the derivative of a function with more than one variable.

However, the calculator does not distinguish between ordinary and partial

derivatives, utilizing the same symbol for both. The user must keep this

distinction in mind when translating results from the calculator to paper.

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