`y = 1/(sqrt(3x + 5))` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 21 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`y = 1/sqrt(3x+5) = (3x+5)^(-1/2)`

`thus, dy/dx = y' = -(1/2)*{(3x+5)^(-3/2)}*3`

`or, dy/dx = -(3/2)*(3x+5)^(-3/2)`

`or, dy/dx = y' = -(3/2)*{1/(3x+5)^(3/2)}`

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