(a) find the differential dy. y = cos(x) dy =? (b) evaluate dy for the given values of x and dx. (round your answer to three decimal places.) x = π/3, dx = 0.1. dy=?

a) Given the expression:

y = cos(x)

On differentiating;

b) Given that x = π/3 and dx = 0.1

Substitute the given parameters into the formula in (a)

Hence the value for dy to three decimal places is 0.087

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a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.

Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say :

b. This is just a matter of plugging in and .

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step-by-step explanation: