CLASS_11_MATHS_SOLUTIONS_NCERT

Class XI Chapter 13 – Limits and Derivatives Maths
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pr qr pr
ps
2
x x x
qr
ps
2
x
Question 4:
Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s
are fixed nonzero constants and m and n are integers): (ax + b) (cx + d) 2
Solution 4:
Let f ' x ax b
cx
d 2
By Leibnitz product rule,
d
2 2 d
f ' x ax b cx d cx d ax b
dx
dx
d 2 2 2
2 d
ax b c x 2cdx d cx d ax b
dx
dx
d 2 2 d d 2 2 d d
ax b c x 2cdx d cx d
ax b
dx dx dx
dx dx
2
2 2
ax b c x cd cx d a
2c ax b cx d a cx d
2
2
Question 5:
Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s
are fixed non
zero constants and m and n are integers):
Solution 5:
Let f(x) = ax b
cx d
By quotient rule,
d
f ' dx
x
ax b
cx d
cx d ax bax b cx d
cx
d 2
d
dx
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