quiz 4 solutions

Function is continuous on interval 1 0 and changes

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Unformatted text preview: erval, and the equation have a solution. Function is continuous on interval −1, 0 and changes sign between -1 and 0 so it has to be equal to zero somewhere within that interval, and the equation have a solution. 2. Use the definition of a derivative to find the derivative of: 2. Use the definition of a derivative to find the derivative of: = = lim → = +2 1 ℎ +ℎ+2 = lim → 1 ℎ − + ℎ + 4 + 2ℎ + 4 + 4ℎ − = lim → +2 −4 −4 1 ℎ + 2ℎ + 4ℎ ℎ = lim ℎ + 2 + 4 = 2 + 4 → = lim → +3 1 ℎ +ℎ+3 = lim → 1 ℎ − + ℎ + 9 + 2ℎ + 6 + 6ℎ − = lim → +3 −6 −9 1 ℎ + 2ℎ + 6ℎ ℎ = lim ℎ + 2 + 6 = 2 + 6 →...
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