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Limits and Derivatives — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSLimits and Derivatives1 Mark
Question
Find the derivative of x5 (3 - 6x-9)
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Answer

Here f(x) = x5 (3 - 6x-9)
$ = {x^5}\frac{d}{{dx}}(3 - 6{x^{ - 9}}) + (3 - 6{x^{ - 9}})\frac{d}{{dx}}({x^5})$
= x5(54x-10) + (3 - 6x-9) × 5x4
= 54x-5 + 15x4 - 30x-5
= 24x-5 + 15x4
$= \frac{{24}}{{{x^5}}} + 15{x^4}$

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