find derivative of y = (3x - 5)(sqrt(6x + 1))
Also chain rule. Write the square root as (6x+1)^(1/2) and it makes more sense.
can you be more elaborate
Okay, so you look at it in terms of factors and apply the product rule, so you take the derivative of (3x-5) and multiply by sqrt(6x+1) Then you add that to the product of (3x-5) and the derivative of sqrt(6x+1) also known as first d last plus last d first
to find the derivative of sqrt(6x+1), rewrite it in the sensible form (6x+1)^(1/2) Bring the exponent down in front, reduce the power by one, then multiply by the derivative of the argument
so we get (1/2)(6x+1)^(-1/2)(6)
total is (3x-5)(1/2)(6)(6x+1)^(-1/2)+(3)(6x+1)^(1/2)
WHATS YOUR ANSWER
remember ^(-1/2) gives one over the square root of...
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