How do you find the derivative of sqrt (5x+2)?

1 Answer
Jim G.
Jan 31, 2016

5/(2(5x+2)^(1/2) )

Explanation:

rewrite as (5x+2)^(1/2)

differentiate using color(blue)(" chain rule ")

d/dx (5x+2)^(1/2) = 1/2 (5x+2)^(-1/2) d/dx (5x+2)

= 1/2 (5x+2)^(-1/2) . 5

= 5/2 (5x+2)^(-1/2) = 5/(2(5x+2)^(1/2))

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