Trig Differentiation

  • Thread starter jsmith613
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  • #1
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Homework Statement



how is the differential of 1+tan2(4x)

8*tan(4x)*sec2(4x)

Homework Equations





The Attempt at a Solution


So 1 differentiates to 0 (we can now ignore this)
tan2(4x) differentiates to 2*tan(4x)*sec2(4x)?

BRING POWER FORWARD, DOWN POWER BY 1, DIFFERENTIATE TERM IN BRACKET
by the chain rule?
 

Answers and Replies

  • #2
353
1
BRING POWER FORWARD, DOWN POWER BY 1, DIFFERENTIATE TERM IN BRACKET
by the chain rule?

You stated it in your question, but never differentiated the term inside inside the bracket.

[tex]2 \cdot tan(4x)sec^{2}(4x) \cdot \frac{d}{dx} (4x)~=~[/tex]
 
Last edited:
  • #3
614
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hold on
yours goes to 32....
NOT 8...
 
  • #4
353
1
hold on
yours goes to 32....
NOT 8...
My mistake :tongue: I fixed it in my first post ( coefficient was originally wrong), but my point still holds. You ALSO need to differentiate the 4x.
 
  • #5
614
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oh of course
differentiate u2 = 2u
differentiate sec2(4x) is 4*sec(4x)*tan(4x)
multiply differntials to give
2*sec(4x)*4*sec(4x)*tan(4x)
 
  • #6
353
1
Exactly!!:approve:
 

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