Chain Rule

  • Thread starter char808
  • Start date
  • #1
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Homework Statement



Let f(x) = (x2)/sin(x)2. Find f'(x).

Homework Equations



Chain rule, quotient rule

The Attempt at a Solution



f'(x) = [2xsin(x)2 - x22cos(x)2]/(sin(x)2)2
 

Answers and Replies

  • #2
rl.bhat
Homework Helper
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Homework Statement



Let f(x) = (x2)/sin(x)2. Find f'(x).

Homework Equations



Chain rule, quotient rule

The Attempt at a Solution



f'(x) = [2xsin(x)2 - x22cos(x)2]/(sin(x)2)2

Derivative of sin(x)2 = cos(x)2*2x
 
  • #3
27
0
f'(x) = [2xsin(x)2 - x22xcos(x)2]/(sin(x)2)2
 
  • #4
35,028
6,774
BTW, the usual notation for (sin(x))2 is sin2(x).
 

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