For the first one, I think the second term should be positive (-7 * -7/2 = 49/2).
Have to find derivatives of following problems:
For this one, I simplified to :
(-4x^5 * x^(1/2)) + ((-7)/(x^3 * x^1/2))
-4^(11/2) + -7x^(-7/2)
Ended with:
-22x^(9/2) + (-49/2*x^(-9/2))
Is there something I'm doing wrong?
For this one I tried making it :
5^(1/2) * t^-3
-15^-3/2 * t^-4
ended with 1/(15^(3/2) * t^4)
Is that correct?
I ended with 4/(x^(1/2))
Correct?
For this one, how would I do about solving this with the x on the bottom also?
Lastly:
How do you find the derivative at that point?
I got -6x-3 for the line, but what do i do after that?
You need to use the quotient rule. Refer to your textbook, or this site:
Quotient Rule for Derivatives - HMC Calculus Tutorial
Your formula for the derivative is correct. Now, you are given a pair of values in form. If you plug 5 into f(x), you'll see that you get -79 "out", or more formally we have that f(5)=-79. This is a point on the curve given by that equation. Now they want to know what the value of the derivative is at this point, that is, the point where x=5. So, you have , and you want to know what is...