Question

help
derivative
find dy/dx
y=5x+1/2sqx

Answer 1

this problem makes use of the quotient rule or the product rule if you know how to convert 1/x^n into n^(-n)

Answer 2

and also remember that square root in exponential form is really 1/2

Answer 3

i dont got it

Answer 4

http://www.khanacademy.org/math/calculus/differential-calculus/product_rule/v/product-rule-for-more-than-two-functions

Answer 5

is your equation like this
\[y = \frac{ 5x+1 }{ 2 \sqrt{x} }\]

Answer 6

yes

Answer 7

to use the product rule with chain rule, it can be rewritten into
\[y = (5x+1)[2(x^\frac{ 1 }{ 2 })]^{-1}\]

Answer 8

or if you just want to use the quotient rule, it has the form of
\[y=\frac{ u }{ v }; y' = \frac{ u'v-uv' }{ v^2 }\]

Answer 9

product rule is
\[y=uv \rightarrow y' = u'v+uv'\]