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Did You Know what Actually is Point of Inflection ? ( Part-2 )

From the point P(h,25h), hR, (h1)P(h,2-5h),\ h \in \mathbb{R},\ ( h \neq 1) two distinct tangents are drawn to the curve :

y=x33x2ax+by={ x }^{ 3 } - { 3x }^{ 2 } - ax +b.

Find value of a+b.a + b.


Try : part-1

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