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LIMITS AND DERIVATIVES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLIMITS AND DERIVATIVES2 Marks
Question
For some constants a and b, find the derivative of (x - a)(x - b)
✓

Answer

Here f (x) = (x - a)(x - b)
$\therefore \;f{\text{'}}(x) = \frac{d}{{dx}}(x - a)(x - b)$
$ = (x - a)\frac{d}{{dx}}(x - b) + (x - b)\frac{d}{{dx}}(x - a)$
= (x - a) × 1 + (x - b) × 1
= x - a + x - b = 2x - a - b

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