Find f'(x) of f(x): 3x²+2x+1

Question

Given f(x): 3x²+2x+1, Find f'(x)

Answer 1

f(x) = 3x^2 +2x +1

f'(x) = 6x +2

power rule is take the exponent and use it as a coefficeint, then reduce the exponent by 1

derivative of a linear term, like 2x, is just the coeffient 2

f'(x) = 3(2)x^(2-1) +2 = 6x +2