Question: Show that if f(x) = ax 3 + bx 2 + cx + d, then Deduce that f(x) = 3ax 2 + 2bx + c

Show that if f(x) = ax3 + bx2 + cx + d, then

f(x+Ax) = ax + bx + cx+d+(3ax +2bx+c)Ax + (3ax + b)(Ax) + a(Ax)

Deduce that f’(x) = 3ax2 + 2bx + c

f(x+Ax) = ax + bx + cx+d+(3ax +2bx+c)Ax + (3ax + b)(Ax) + a(Ax)

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