Calculus

Extrema

Global Extrema

         

What is the positive number xx that maximizes 9x1x+10? 9 \cdot {x}^{\frac{1}{x}}+10?

For what value of xx is the function f(x)=7x284x+19f(x) = 7 x^2 - 84 x + 19 minimized?

What is the absolute value of the minimum value of the function f(x)=x424x2+64x+16f(x)=x^4-24 x^2 + 64 x + 16?

What is the extreme value of f(x)=x1+22 f(x) = |x-1| + 22?

For what value of xx is the function f(x)=x436x3+20f(x) = x^4 - 36 x^3 + 20 minimized?

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