I assume you are referring to
Damon answered your #1 question correctly according to the way you typed it, but now your denominator is different, so which way is it?
If you want it the way you typed it this time, f(x) = If f(x)=5x^3–2/x^4
then f'(x) = [x^4(15x^2) - (5x^3-2)(4x^3)]/x^8
take out a common factor of x^3 from the top
= x^3(15x^3 - 4(5x^3-2))/x^8
another way to do this is to rewrite the original
If f(x)=5x^3–2/x^4 as
f(x) = 5x^-1 - 2x^-4
f'(x) = -5x^-2 + 8x^-5
= -5/x^2 + 8/x^5
getting a common denominator and simplifying gives you the same answer of
In the second question Damon made a typo by setting the derivative equal to 7 instead of 10.
If you had looked at his solution you should have noticed that, and should have been able to make the necessary changes.
for your third I suggest you write it as
f(x)=2x^2+7x+3/ sqroot of x
= f(x)=2x^2+7x+3/ x^(1/2) then do what I did in #1
so f(x) = 2x^(3/2) + 7x^(1/2) + 3x^(-1/2)
f'(x) = 3x^(1/2) + (7/2)x^(-1/2) - (3/2)x^(-3/2)
I see (1/2)x^(-3/2) as a common factor
f'(x) = (1/2)x^(-3/2)[6x^2 + 7x - 3]
= (6x^2 + 7x - 3)/(2x^(3/2))
Answer this Question
Calculus please help - I have 3 calc problems that i have not been able to do ...
socials - this is the same question I posted yesterday, it is due tommorow, oh ...
Math - So lately in class, we've been doing stuff on finding the variables in ...
English - 1. Sales have been down these days. 2. sales have been up these days...
language arts Ms. Sue please last question - 5. Identify the verb in the ...
To MS SUE - ''Without the English civil war, democracy would have never ...
English - Can someone from you help me with these sentences? Which of the ...
history: modern cities - Consider modern cities. What problems that existed at ...
statistics - it has been reported that 40% of all internet users have been ...
History - 1)Why might the US have been concerned early in the war about China's ...