anonymous
  • anonymous
(2x^2tan(x))/sec(x) find f ' (x) and f ' (3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Answer is 2 x (x cos(x)+2 sin(x)), I just don't know how to do it
anonymous
  • anonymous
okay I got cha
3psilon
  • 3psilon
it gets a little messy

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anonymous
  • anonymous
What do you do after you get the numerator?
3psilon
  • 3psilon
Actually forget what I said. Just use the quotient rule
anonymous
  • anonymous
(4x)(tan(x))-(2x^2)(sec(x^2)) derivative of tan(x) = sec(x)^2
anonymous
  • anonymous
is that right for the numerator?
3psilon
  • 3psilon
\[\frac{ \sec(x)(2x^{2}\sec^{2}x+4xtanx)- 2x^{2} \tan(x)\tan(x)\sec(x) }{ \sec^{2}x }\]
3psilon
  • 3psilon
That's when it is in quotient rule form. As I said . it does get messy :/
anonymous
  • anonymous
Wow... sorry it took long to reply, the website isn't working well for me.
anonymous
  • anonymous
m trying to follow what you got and how you got it with the formula, i'm just learning the quotient rule
3psilon
  • 3psilon
The quotient rule is low d(high) - high d(low) all over Low low or low^2
3psilon
  • 3psilon
high is the numerator and low is the denominator when there is a d next to it that means the derivative
3psilon
  • 3psilon
In this case the d(high) involved the product rule that's why it got so messy
anonymous
  • anonymous
okay im following now. Goodness this hard on the head... so first we found out what the numerator is from the product rule, and then we use the quotient rule
3psilon
  • 3psilon
Just take it one step at a time :) Use the quotient rule for the whole thing. But you'll come across product rule inside it

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