Question

Please help with this problem!!
Given - f '' (x) = x^3 + 10x^2 + 6x
f ' (x) = -4
f (x) = -10
Find f ' (x) = _________
f (x) = __________

Answer 1

on integrating f ''( x)
f ' (x)=x^4/4 +10x^3/3+6x^2/2
on integrating this
f(x)= x^5/(4*5) + (10/3)*x^4/4+3x^3/3
f(x)=(x^5)/20 +(10/12)*x^4 +x^3
f(x)=(x^5)/20 +(5/6)*x^4 +x^3

Answer 2

@MG757983