Continuity and Differentiability
Hard
Local Minima Maxima
Let f be a differentiable function satisfying
f(x) = 1 – 2x +
f(t) dt, x ∈ R and let g(x) = 
(t – 4)6 (t + 12)17 dt, x ∈ R.
If p and q are respectively the points of local minima and local maxima of g, then the value of |p + q| is equal to _________ .
f(x) = 1 – 2x +
f(t) dt, x ∈ R and let g(x) = (t – 4)6 (t + 12)17 dt, x ∈ R.If p and q are respectively the points of local minima and local maxima of g, then the value of |p + q| is equal to _________ .