Differentiate the functions given in w.r.t. x.
(x + 3)2. (x + 4)3. (x + 5)4
Given: (x + 3)2. (x + 4)3. (x + 5)4
Let y= (x + 3)2. (x + 4)3. (x + 5)4
Taking log on both sides, we get
log y = log((x + 3)2. (x + 4)3. (x + 5)4)
⇒log y = log(x + 3)2 + log(x + 4)3 + log(x + 5)4
⇒log y = 2.log(x + 3) + 3.log(x + 4) + 4.log(x + 5)4
Now, differentiate both sides with respect to x
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