1.

Y=(4x-1)^1/2 find dy/dx

Answer»

The answer is given below :

RULE :

d/dx (x^N)

= n x^(n - 1)

SOLUTION :

Given,

y = (4X - 1)^(1/2)

Now, differentiating both sides with respect to x, we get

dy/dx = 1/2 × (4x - 1)^(1/2 - 1) × d/dx (4x - 1)

= 1/2 × (4x - 1)^(-1/2) × 4

= 2 × (4x - 1)^(-1/2)

= 2/{√(4x - 1)}

THANK you for your question.


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