JEE Main 2016 (17)

Calculus Level 4

For a curve \(y=f(x),f''(x)=4x\) at each point \((x,y)\) on it and it crosses the \(x\)-axis at \((-2,0)\) at an angle of \(45^\circ\) with the positive direction of \(x\)-axis. If \(f(x)=ax^{3}+bx^{2}+cx+d\), then find \(3(a+b+c+d)\).


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