I need to find the derivative of y=3x(x^3/2). I know the answer is 2x(3x^2). I just dont know how to get it. help please

Question

lalaly · Answer

first multiply 3x and x^(3/2)

anonymous · Answer

My teacher said that you need to use the product rule. which is the first times the deriviative of the second, plus the second times the derivative of the first.

anonymous · Answer

Yup that is correct

anonymous · Answer

derivative of 3x=3

anonymous · Answer

Sorry the part isnt raised to 3/2 its x^3 divided by 2

anonymous · Answer

and X^(3/2)= (3/2)x^(1/2)

anonymous · Answer

YOu forgot to subtract one from the power

lalaly · Answer

im sorry, rld is right, i got distracted

anonymous · Answer

ya with the chat conversation!! :D

lalaly · Answer

lol :( sorry

lalaly · Answer

do u still need help with this, do u want me to do it again? no distractions:D

anonymous · Answer

3*(x^(2/3))+(2/3)x^(1/2)*3x
3x^(2/3)+2^(3/2)

anonymous · Answer

oh whoops io made a mistake

anonymous · Answer

please. i know how to do0 it i just think im making  a simple mistake

anonymous · Answer

3x^(2/3)+2x(x^(1/2))

anonymous · Answer

wait give me a sec

anonymous · Answer

did u see where i said it wasnt raised to 2/3?

anonymous · Answer

oh i see i was trying to see how u got that!!!

anonymous · Answer

ok let me start from the begginning again

lalaly · Answer

$$3x(x^{\frac{3}{2}})$$$$\frac{d}{dx}(3x(x^{\frac{3}{2}})=3x^{\frac{3}{2}}+3x(x^\frac{1}{2}) \times \frac{3}{2}$$

anonymous · Answer

haha i didnt realize it until afterwards

anonymous · Answer

I think the equation is different that is what maclovin is claiming

anonymous · Answer

that it is 3x((x^3)/2)

lalaly · Answer

$$=3x^{\frac{3}{2}} +\frac{9}{2}x^{\frac{3}{2}}$$

lalaly · Answer

oh

anonymous · Answer

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