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

Question

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

nincompoop · Answer

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

nincompoop · Answer

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

anonymous · Answer

i dont got it

nincompoop · Answer

nincompoop · Answer

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

anonymous · Answer

yes

nincompoop · Answer

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

nincompoop · Answer

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

nincompoop · Answer

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