Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Find the stationary points of f(x)=x3−6x2+9x+1f(x) = x^3 - 6x^2 + 9x + 1f(x)=x3−6x2+9x+1.
Determine the stationary points of f(x)=x+1x−1f(x) = \frac{x+1}{x-1}f(x)=x−1x+1.
Determine the stationary points of f(x)=2x4−8x2+3f(x) = 2x^4 - 8x^2 + 3f(x)=2x4−8x2+3.
Find the stationary points of f(x)=x2exf(x) = x^2e^xf(x)=x2ex.
Determine the stationary point of f(x)=xe−xf(x) = xe^{-x}f(x)=xe−x.
Find the stationary points of f(x)=x2ln(x)f(x) = x^2\ln(x)f(x)=x2ln(x), x>0x>0x>0.
Find the stationary points of f(x)=x4e−xf(x) = x^4e^{-x}f(x)=x4e−x.
Find the stationary points of f(x)=e−x(x2−x)f(x) = e^{-x}(x^2 - x)f(x)=e−x(x2−x).
Determine the stationary points of f(x)=ln(x)xf(x) = \frac{\ln(x)}{x}f(x)=xln(x) for x>0x>0x>0.
Determine the stationary points of f(x)=x3e−2xf(x) = x^3e^{-2x}f(x)=x3e−2x.
Find the stationary points of f(x)=x2exx−1 f(x) = \frac{x^2e^x}{x-1}f(x)=x−1x2ex.
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Question Type 2: Checking whether the first order conditions constitute to a local minimum or maximum