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NCERT Class XI Mathematics - Limits and Derivatives - Solutions

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Question : 48
Total: 72
ax+b
cx+d
Solution:  
Let f (x) =
ax+b
cx+d
 ... (i)
Differentiating (i) with respect to x, we get
d
dx
 (f (x)) =
(cx+d)(ax+b′−(ax+b)(cx+d)′
(cx+d)2

=
(cx+d)(a)−(ax+b)(c)
(cx+d)2
=
acx+ad−acx−bc
(cx+d)2
=
ad−bc
(cx+d)2
.
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