Question

If f(x) = 2x sqrt(x+a),
show that f'(x) = (3x+2a)/sqrt(x+a)

Answer 1

do u know the product property of derivatives?

Answer 2

the product rule? yes

Answer 3

or should i use the chain rule in this case?

Answer 4

apply that rule by taking 2x and sqrt(x+a) as individual funcitons

Answer 5

i have to use chain rule when I use the product rule

Answer 6

because of the sqrt(x+a)

Answer 7

the chain rule will also come into effect only when u differentiate,sqrt(x+a)

Answer 8

yeah.. (x+a)' = 1 so no need to worry ;)

Answer 9

thanks guys for your help :)