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Find dydx if y = (1 – x) (2 – x) - Mathematics and Statistics

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Question

Find `dy/dx` if y = (1 – x) (2 – x)

Sum

Solution

y = (1 – x) (2 – x)
= 2 – 3x + x2
Differentiating w.r.t. x, we get

`dy/dx=d/dx(2 - 3x + x^2)`

= `d/dx(2) - 3d/dx(x) + d/dx(x^2)`

= 0 – 3(1) + 2x
= –3 + 2x

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Rules of Differentiation (Without Proof)
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Chapter 9: Differentiation - Miscellaneous Exercise 9 [Page 123]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 9 Differentiation
Miscellaneous Exercise 9 | Q II. (6) | Page 123

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