For the family

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

For the family fp(x)=x4−4x3+px2f_p(x)=x^{4}-4x^{3}+p x^{2}, determine all real values of pp such that fpf_p is concave up on the interval (1,∞)(1,\infty).

Related theory

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