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d/dx log base sqrt x (1/ x ) is equal to a) -1/2 √ x b) -2 c)-1/x 2 √x d) 0

d/dx log base sqrt x  (1/x) is equal to
a)-1/2x
b) -2
c)-1/x2 √x
d) 0
 
 

Grade:11

1 Answers

Aditya Gupta
2081 Points
2 years ago
we see that logx^0.5(x^-1)= – logx^0.5(x)= – 1/0.5 logxx= – 2
so that it turns out to be a constant
hence on differentiating it wrt x, we get zero.
kindly approve :)

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