Find the derivative of $$f(x)=x^5+3x^4-2x+1$$.
See development and solution
Development:
The function is a sum of 4 different power functions. Let's apply the rule of the sum: $$$f'(x)=5x^4+12x^3-2$$$
Solution:
$$f'(x)=5x^4+12x^3-2$$