anonymous
  • anonymous
Find the derivative of the function. F(t) = e^4tsin 2t
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Use product rule f(x) • g(x) = (f '(x) • g(x)) + (f(x) • g'(x)).
anonymous
  • anonymous
is that the chain rule?
anonymous
  • anonymous
this is a product of 2 functions e^4t and sin2t. so using the rule i put up there u differentiate it.

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anonymous
  • anonymous
chainrule is used on a function of a function like sin2t or e^4t The chain rule which states that the derivative of a composite function equals: (derivative of outside) • (inside) • (derivative of inside).
anonymous
  • anonymous
Sin 2t Cos . 2t. 2= 2 cos(2t) e^4t e^ . 4t . 4= 4e^4t
anonymous
  • anonymous
It is both chain rule and product rule i guess Jnlucero u r right to say it is chain rule
anonymous
  • anonymous
Is this of any help erfan1234567
anonymous
  • anonymous
yes

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