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NCERT Class XI Mathematics - Limits and Derivatives - Solutions

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Question : 47 of 72
Marks: +1, -0
(ax+b)(cx+d)2(ax + b)(cx + d)^2
Solution:  
Let f(x) = (ax+b)(cx+d)2(ax + b)(cx + d)^2 ... (i)
Differentiating (i) with respect to x, we get
ddx\frac{d}{dx} (f(x)) = (ax + b) [(cx+d)2]\left[(cx + d)^2\right]' + (cx+d)2(cx + d)^2 (ax + b)′ = (ax + b) 2c (cx + d) + (cx+d)2(cx + d)^2 a
= 2c(ax + b) (cx + d) + a(cx+d)2a(cx + d)^2
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