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CLASS_11_MATHS_SOLUTIONS_NCERT

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Class XI Chapter 13 – Limits and Derivatives Maths<br />

______________________________________________________________________________<br />

Question 7:<br />

Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s<br />

are fixed non<br />

1<br />

zero constants and m and n are integers):<br />

2<br />

ax bx c<br />

Solution 7:<br />

1<br />

Let f(x) =<br />

2<br />

ax bx c<br />

By quotient rule,<br />

2 d d 2<br />

ax bx c 1 ax bx c<br />

f ' x<br />

<br />

dx dx<br />

2<br />

2<br />

ax bx c<br />

=<br />

<br />

<br />

<br />

2<br />

ax bx c02ax b<br />

<br />

<br />

<br />

2<br />

ax bx c<br />

<br />

2ax<br />

b<br />

2<br />

ax bx c<br />

<br />

2<br />

<br />

2<br />

Question 8:<br />

Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s<br />

are fixed non<br />

ax b<br />

zero constants and m and n are integers):<br />

2<br />

px qx r<br />

Solution 8:<br />

ax b<br />

Let f(x) =<br />

2<br />

px qx r<br />

By quotient rule,<br />

f '<br />

=<br />

x<br />

<br />

2 d<br />

d 2<br />

px qx r ax bax b px qx r<br />

dx<br />

dx<br />

2<br />

2<br />

px qx r<br />

2<br />

px qx raax b2px q<br />

<br />

2<br />

px qx r<br />

<br />

2<br />

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