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Mathematics 16 Online
OpenStudy (anonymous):

find derivative of y = (3x - 5)(sqrt(6x + 1))

OpenStudy (anonymous):

Also chain rule. Write the square root as (6x+1)^(1/2) and it makes more sense.

OpenStudy (anonymous):

can you be more elaborate

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

so we get (1/2)(6x+1)^(-1/2)(6)

OpenStudy (anonymous):

total is (3x-5)(1/2)(6)(6x+1)^(-1/2)+(3)(6x+1)^(1/2)

OpenStudy (anonymous):

WHATS YOUR ANSWER

OpenStudy (anonymous):

remember ^(-1/2) gives one over the square root of...

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