How do I find the maximum value of the function f(x)=5^x-x^5 on the interval 0<=x<=2?
I know that to find the maximum value I need to find the derivative of the function and then set it to zero. And i got:
And this is where i got stuck, i cannot solve the above equation. And i know there is an answer since using guess and check i was about to come close to the answer.
I asked my teacher about this first, according to him, it's unsolveable using algebra. and i do not need to know about it at grade 12 high school(but i still wish to know). So basically i'm asking if you can show me how to solve this, or tell me what i would need to know to be able to solve this.