Question
$$\text {Graph each function. Then estimate any relative extrema.}$$$$f(x)=x^{4}+4 x^{3}-36 x^{2}-160 x+400$$
Step 1
The derivative of the function $f(x)$ is given by: $$f'(x) = 4x^{3}+12x^{2}-72x-160$$ Show more…
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$$\text {Graph each function. Then estimate any relative extrema.}$$ $$\begin{aligned} f(x)=&-x^{6}-4 x^{5}+54 x^{4}+160 x^{3}-641 x^{2} \\ &-828 x+1200 \end{aligned}$$
Applications of Differentiation
Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs
Using a graphing calculator, estimate the interval on which the function is increasing or decreasing and any relative maxima or minima. $$f(x)=x^{4}+4 x^{3}-36 x^{2}-160 x+400$$
More on Functions
Increasing, Decreasing, and Piecewise Functions; Applications
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