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Question
Find the differential dy for the following functions:
y = `"e"^(x^2 - 5x + 7) cos(x^2 - 1)`
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Solution
dy = `{"e"^(x^2 - 5x + 7) [- sin (x^2 - 1)(2x)] + cos(x^2 - 1)["e"^(x^2 - 5x + 7) (2x - 5)]} "d"x`
dy = `{"e"^(x^2 - 5x + 7) [- 2x sin (x^2 - 1) + (2x - 5) cos(x^2 - 1)]} "d"x`
dy = `"e"^(x^2 -5x + 7) {(2x - 5) cos(x^2 - 1) - 2x sin(x^2 - 1)} "d"x`
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