For , let and define . On which subintervals of is concave…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For 0≤x≤40\le x\le4, let f(x)=x3−6x2+9xf(x)=x^{3}-6x^{2}+9x and define A(t)=∫0tf(x) dxA(t)=\displaystyle\int_{0}^{t}f(x)\,dx. On which subintervals of (0,4)(0,4) is AA concave up?

Related theory

Browse the problem library