Help on derivatives!

  • Thread starter hawkblader
  • Start date
  • #1

Homework Statement



Let f(x) = sqrt(sin(e^(x^4*sinx)))

Find f '(x)

I tried this many times and it's really frustrating!

I made it a composition function : f(g(h(x)))

but I'm not getting the answer at all.

At the end, I found :
1/2(sin(e^((x^4)(sinx))))^(-1/2) (cos(e^(x^4 sinx))) (e^(x^4 sinx)) (4x^3 cosx)

But it's wrong.

Could someone please tell me where I went wrong or how to solve this please.
 

Answers and Replies

  • #2
ehild
Homework Helper
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1/2(sin(e^((x^4)(sinx))))^(-1/2) (cos(e^(x^4 sinx))) (e^(x^4 sinx)) (4x^3 cosx+4*3x^2 sinx)
You left out the blue part.

ehild
 
  • #3
Could you please tell me how you got the blue part?

I put it in and it's still wrong :(
 
  • #5
ehild
Homework Helper
15,543
1,909
1/2(sin(e^((x^4)(sinx))))^(-1/2) (cos(e^(x^4 sinx))) (e^(x^4 sinx)) (4x^3 cosx)
Sorry, I also was mistaken, the red part is wrong, as you have to apply the product rule on x4sinx.

ehild
 

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