Question

product rule. problem in comments

Answer 1

\[f(x)= (-3e^x)(4\sqrt{x})\]

Answer 2

Use the constant multiple rule on both brackets

Answer 3

So it would be
\[(-3e^x)(\frac{ 2 }{ \sqrt{x} }) ?\]

Answer 4

it would be wise if you got rid of the denominator

Answer 5

1/sqrt(x) = x^(-1/2)

Answer 6

\[(-3e^x)(4x^\frac{- 1 }{ 2 })\]

Answer 7

right. and constant multiple rule just states that the constants can be multiplied themselves
-3*4[e^x * x^(-1/2)]

Answer 8

then remember this for product rule
f(x) = uv
f' = u'v + uv'

Answer 9

g(x) = uvw
g' = u'vw + uv'w + uvw'

h(x) = suvw
h' = s'uvw + su'vw + suv'w + suvw'

see how it works?

Answer 10

yes i understand product rule, it's the e^x that is giving me trouble

Answer 11

Nah e^x is the friendliest function in calculus.

Answer 12

Well I've never seen it until now. I'm only in calc I

Answer 13

Well, how is it troubling you?

Answer 14

I've never seen it, so I don't know the properties of it

Answer 15

\[-12(e^x)(4x^\frac{ -1 }{ 2 })\]

that's what I have so from from what he said

Answer 16

Use the product rule again on the brackets