Differentiate
g(x)=3(sqrt x e^x)

Question

anonymous · Answer

$$ g(x)=3\sqrt{}xe ^{x}$$

anonymous · Answer

Please show me step by step thanks

anonymous · Answer

3(sqrt(x)e^x)

anonymous · Answer

?

anonymous · Answer

3root(x)e^x +  (3/2)(e^x)/root(x)

anonymous · Answer

yea

anonymous · Answer

chain rule
first treat rootx as constant and diff e^x and then keep e^x constant and diff rootx

anonymous · Answer

3root(x)e^x + (3/2)(e^x)/root(x)

anonymous · Answer

Or just use product rule?

anonymous · Answer

i didnt learn the chain rule yet

anonymous · Answer

can you show me please

anonymous · Answer

oh sorry product rule..i said chain rule by mistake

anonymous · Answer

Product Rule

anonymous · Answer

Horatio has a pack of candies containing 4 strawberry, 2 lemon, 1 lime, and 3 orange flavored chews, in random order. If he eats each candy immediately after taking it out of the pack, which multiplication expression can be used to determine the probability that the first two candies he eats are lemon?

anonymous · Answer

yes

anonymous · Answer

can you show me how to use the poduct rule for this problem

anonymous · Answer

see if there is a product of 2 functions
f(x)g(x)
the derivative is
f(x)g'(x)  +   f'(x)g(x)

anonymous · Answer

so now treat e^x as f(x) and rootx as g(x)

anonymous · Answer

ok..but where is 3

anonymous · Answer

3 u put outside..it is constant

anonymous · Answer

o ok..so it would be like this$$3\sqrt{x}e^x = 3(1/2(x))^-1/2$$

anonymous · Answer

no sure it thats right

anonymous · Answer

wheres the e^x gne?

anonymous · Answer

o well that becomes $$e$$

anonymous · Answer

and its a constant so i removed it

anonymous · Answer

$$3\sqrt{x}e ^{x} +3e^{x}/2\sqrt{x}$$

anonymous · Answer

i dont understand