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These are the local extrema for f (x) = x4 −4x f (x) = x 4 - 4 x. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

x^{2}-x-6=0 -x+3\gt 2x+1 ; line\:(1,\:2),\:(3,\:1) f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) \frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120)

2024年8月12日 · Example 4 : Determine the critical points of g(x) = x⁴ – 4x³ + 6x² and classify them as local maxima, local minima, or neither. Solution: g'(x) = 4x³ – 12x² + 12x = 4x(x² – 3x + 3)

Since [latex]f^{\prime}(x)=x^2-5x+4=(x-4)(x-1)[/latex], the critical points are [latex]x=1[/latex] and [latex]x=4[/latex]. From the graph of [latex]f[/latex] in (Figure), we see that [latex]f[/latex] has a local maximum at [latex]x=1[/latex] and a local minimum at [latex]x=4[/latex].

2020年11月10日 · From the graph of \(f\) in Figure \(\PageIndex{5}\), we see that \(f\) has a local maximum at \(x=1\) and a local minimum at \(x=4\). Figure \(\PageIndex{5}\): This function has a local maximum and a local minimum.

2019年7月1日 · If "local minimum value" means the function value in the local minimum, b) is correct. If it means the number of local minima, d) is correct.

2016年6月28日 · How do you find the local extrema for f (x) = x4 − 4x³? There is a minimum for x = 3. First of all we search the zeros of the derivative. f '(x) = d dx (x4 −4x3) = 4x3 −12x2. f '(x) = 0 → 4x3 − 12x2 = 0. One solution is of course x = 0 the second is …

These are the local extrema for f (x) = x4 ln(x) f ( x) = x 4 ln ( x). Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

2018年7月27日 · How do you find and classify local maxima, local minima, and all critical points of f (x) = x3 + x2 − 4x − 4? There is a local maximum at (−1.535,).879 and a local minimum at (0.869, − 6.065). The point of inflection is = (− 1 3, − 2.593). The function is. f (x) = x3 + x2 −4x −4. As this is a polynomial function, the domain is R.