Mathematics, 03.01.2021 23:40 isaactatep808nj
Let g be the function given by g(x) = x^4-3^3-x. What are all values of x such that g'(x)=1/2
Answers: 1
![x= \frac{\sqrt[3]{3} }{2}](/tpl/images/1011/6124/ae7d5.png)
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![\to \frac{1}{2}= 4x^3 -1\\\\\to \frac{1}{2} +1= 4x^3 \\\\\to \frac{1+2}{2}= 4x^3 \\\\\to \frac{3}{2}= 4x^3 \\\\\to x^3 =\frac{3}{2 \times 4} \\\\\to x^3 =\frac{3}{8} \\\\ \to \bold{x= \frac{\sqrt[3]{3} }{2}}](/tpl/images/1011/6124/68414.png)
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Let g be the function given by g(x) = x^4-3^3-x. What are all values of x such that g'(x)=1/2...
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