<p><a href="http://img641.imageshack.us/img641/7816/derivhelp.jpg%5B/url%5D">http://img641.imageshack.us/img641/7816/derivhelp.jpg</a>
I need help with the first two. The first on is the most important, than the 2nd and 4th. The rest I just want to check for review. It needs to be derived.</p>
<p>Derivative of the first: (3x^-1/2)(x^1/3 – 2x + 6) * (1/3x^(-2/3) – 2)</p>
<p>Second: -12x^2 – 8x - 4</p>
<p>How did you get those answers?</p>
<p>1) 5x^(-1/6)-18x^(1/2)+18x^(-1/2)
-distribute and use the power rule; remember to convert radicals to fractional exponents</p>
<p>2) -4x^(-2)+8x^(-3)-12x^(-4)
- convert to negative exponents and power rule</p>
<p>3) (-1/3)*t^(-4/3)
- convert to negative fractional exponents and power rule</p>
<p>4)right column (-3/4)*x^(-7/4)
- negative exponent and power rule</p>
<p>5) 20*x^(-8/3)
- constant rule and negative exponents and power rule</p>
<p>@riku92mr, what in the world?</p>
<p>First one: 5x^(-1/6)-18x^(1/2)+18(-1/2)</p>
<p>use abc’+a’bc+ab’c</p>
<p>Second question
4x^-1-4x^-2+4x^-3
=-4^-2+8x^-3-12x^-4</p>
<p>Here is how to do it
1/x<em>4-(1/x^2)</em>4+(1/x^3)*4</p>
<p>Both are solved by using the product rule</p>
<p>^ that makes it waaaaayyyyyyy harder than it needs to be. just distribute and use power rule.</p>
<p>Why would you not use the chain rule for #1?</p>
<p>because it makes things unnecessarily difficult.</p>
<p>I don’t think you CAN use the chain rule. Either distribute and differentiate separate terms, or use the product rule.</p>
<p>^ you technically can use the chain rule, but you shouldn’t.</p>
<p>i didn’t simplify the second question</p>