NCERT Class XI Mathematics - Limits and Derivatives - Solutions

Question : 51

Total: 72

ax+b

px2+qx+r

Solution:

Let f (x) =

ax+b

px2+qx+r

... (i)
Differentiating (i) with respect to x, we get

(f (x)) =

(px2+qx+r)(ax+b)′−(ax+b)(px2+qx+r)′

(px2+qx+r)2

(px2+qx+r)(a+0)−(ax+b)(2px+q+0)

(px2+qx+r)2

px2a+qxaa+ra−2pax2−axq−2pxb−bq

(px2+qx+r)2

−pax2+ra−2pxb−bq

(px2+qx+r)2

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