Differentiation
India
Class XI
Quotient Rule
Interactive practice questions
Suppose we want to differentiate $y=\frac{2x-5}{5x-2}$y=2x−55x−2 using the quotient rule.
a
Using the substitution $u=2x-5$u=2x−5, find $u'$u′.
b
Using the substitution $v=5x-2$v=5x−2, find $v'$v′.
c
Hence find $y'$y′.
d
Is it possible for the derivative of this function to be zero?
No
A
Yes
B
Easy
4min
Suppose we want to differentiate $y=\frac{5x^2}{2x+8}$y=5x22x+8 using the quotient rule.
Easy
6min
Suppose we want to differentiate $y=\frac{3x}{5x-4}$y=3x5x−4 using the quotient rule.
Easy
2min
Suppose we want to differentiate $y=\frac{4x+3}{4x-3}$y=4x+34x−3 using the quotient rule.
Easy
3min
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