Answer
a) $f'(x) = 12x^3+10x$
b) $f'(x)=12x^3+10x$
Work Step by Step
a) First, multiply out the expression:
$f(x)=3x^4-x^2+6x^2-2=3x^4+5x^2-2$
Then, take the derivative of each term:
$f'(x) = 4*3x^3+2*5x^1-0=12x^3+10x$
b) Take the derivative of the equation using Product Rule:
$f'(x) = (3x^2-1)(2x+0)+(2*3x^1-0)(x^2+2)$
$=6x^3-2x+6x^3+12x=12x^3+10x$
