Calculus HW due tomorrow! .. help!

Pre-College Issues High School Life
1

<p>I have 15 hw problems for calc ab and I have no idea how to do them… Please someone help me out by letting me know the steps or something? I can’t understand them and they’re due tomorrow!</p>

<p>Find the derivative of the following:</p>

<li><p>y = 5 cot (2/x)</p></li>
<li><p>y = sin^-5 x - cos^3 x</p></li>
<li><p>y = tan(2x - x^3)</p></li>
<li><p>y= ( sinx / 1 + cosx) ^2</p></li>
<li><p>y = sec(tan x)</p></li>
<li><p>y = sin^3 x tan 4x</p></li>
<li><p>y = 4 /``````````(sq. root) sec x + tan x

  • y = (x^2 + 5x - 1) / (x^2)

  • y = (x-1) (x^2 + x + 1) / (x^3)

  • y = cos^-1 (x^2)

  • y = sin^ -1 /```````````` 2x</p></li> <li><p>y = sec^2 (2x + 1)</p></li> <li><p>y = (1) / (sin^-1 (2x))</p></li> <li><p>y = sec^-1 5x</p></li> <li><p>y = csc^-1 (x/2)</p></li> </ol>

    <p>Thanks!</p>

    • 2

    <p>You have to use the chain rule (dx/du times du/dy) Take the derivative of the whole thing and multiply it by the derivative of the argument.</p>

    <p>And you need to know the derivatives of the trig functions. I don't remember them all by heart, but I'm sure your textbook has a list of them.</p>