differentiate the following X^4 - 3✓x + 4
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do it with this example
Differentiate the functions given w.r.t. x:(x−1)(x−2)(x−3)(x−4)(x−5)−−−−−−−−−−−−−−−−−−√
Solution :
Let y=(x−1)(x−2)(x−3)(x−4)(x−5)−−−−−−−−−−−−−−−−−−√
Taking log both sides,
⇒lny=12ln[(x−1)(x−2)(x−3)(x−4)(x−5)]
Differentiating both sides w.r.t. x,
1ydydx=12[1x−1+1x−2−1x−3−1x−4−1x−5]
⇒dydx=y2[1x−1+1x−2−1x−3−1x−4−1x−5]
⇒dydx=12(x−1)(x−2)(x−3)(x−4)(x−5)−−−−−−−−−−−−−−−−−−√[1x−1+1x−2−1x−3−1x−4−1x−5
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hope its clear.........
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