Question

Find the derivative of the function.

r(x) = (e^4x(squared)^6

Answer 1

Don't take this as fact. You should double check me. Here I go

Answer 2

\[6(e^{4x^2})^5(e^{4x^2})8x=48x(e^{4x^2})^6\]

Answer 3

thats what i got instead i had it squared by 5 not 6

Answer 4

I brought the power down then took the derivative of the inside, of which I had do the chain rule again.

Answer 5

I combined the ^5 and ^1 with the same base to get ^6. But this is the first time I've done this exact type of problem. You very well could be right.

Answer 6

oh you were right. thanks

Answer 7

yup

Answer 8

can you help me with one more question, similiar to this?

Answer 9

sure

Answer 10

\[e ^{2x^2-7x+2/x}\]

Answer 11

thats a tough one check me on this first. The derivative of 1/x is ln(x) right?

Answer 12

i think its this f ' (x) = -1 x ^ -2

Answer 13

You're right integral of 1/x is ln(x) and derivative of ln(x) is 1/x.

Ok. Think you have to bring x to the top so x^-1 then use the product rule. I'll try it

Answer 14

is everything over x or just the 2

Answer 15

just 2

Answer 16

I was assuming everything was over x. This makes it simpler. You should still make it 2x^-1, but we don't have to use the product rule anymore

Answer 17

\[e^{2x^2-7x+2/x}(4x-7-2/x^2)\]

Answer 18

so everything is over x?

Answer 19

No, I thought the original problem was over x, but you said it was only the 2. So my answer above the 2 is only over x^2

Answer 20

oh ok, hm i guess i was wrong because it was incorrect for my hwk.

Answer 21

im not sure how to do this type of problem

Answer 22

\[e^{(\frac{ 2x^2-7x+2 }{ x })}\]Is that the problem

Answer 23

no its labeled like it is a few convos up. when u gave me the answer

Answer 24

Hmm. I wouldn't do anything different with my answer a few posts above. You should get a second opinion on this one I guess.

Answer 25

hm ok. this is a tough one.