Answer:
6x-6
Explanation:
Differentiate.
3x2+ddx[−3x2]+ddx[1]
Evaluate
ddx[−3x2].
3x2−6x+ddx[1]
Differentiate using the Constant Rule.
f'(x)=3x2−6x
Find the second derivative.
By the Sum Rule, the derivative of 3x2−6x
with respect to x would be
ddx[3x2]+ddx[−6x].ddx[3x2]+ddx[−6x]
Evaluate
ddx[3x2].
6x+ddx[−6x]
Evaluate dd
x[−6x].f''(x)=6x−6
The second derivative of f(x)with respect to x is 6x−6.6x−6