Edit, I just found number 2 so scratch that one
1. If f(x)=3(root x)*(x^3-7(root x) +7)
find f'(x) and f'(4)
2. If f(x)=9x+2 / x^2+2x-3, find the derivative f'(x).
3. G(x)=(3x^2-2)(x+2)^2 / (10x^2+8x+2)
Find G'(2)
4. f(x)=x^8 h(x)
h(-1)=3
h'(-1)=6
Calculate f(-1)
I attempted all of these, thought I was doing everything correct but apparently I was not and now im stuck. Any help is greatly appreciated
It looks like you have found G(2) rather than G'(2)
Here you need to use the product rule and quotient rule. First the quotient rule
and
To find u' we need to use the product rule - for clarity's sake I'm going to use p and q
and
Now we have found u' we can use it in the quotient rule for the whole expression:
Please check my arithmetic