2(x^2/3) + (x^4/5) +11
i differnetiated this to get
4/3(x^-1/3) + 4/5(x^-1/5)
i know then, that i have to set the differentiated formula = 0. Please help with what i have to do next.
Thanks
I suggest finding the lowest common denominators of 3 and 5 and change your exponents into that form:
You can then factor out as a common factor
Can you solve now?
To test whether you have a maximum or minimum check the sign of .
- If you have a maximum
- If you have a minimum
- If you have a point of inflection
There're probably different ways to solve the equation, but if you have to solve:
This means there're no solutions, because there's no value wherefore:
or .
So what's your conclusion?
i solved for x and got x = + or - square root of 3/5
(sorry don't know how to put mathematical functions onto the computer)
and then from the derivative i work out whether it's a maximum or a minimum.
thank you for all your help