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What is the maximum slope of the tangent to to the function f(x)=-x^3+4x-2?please show me all steps like in finding the derivative thanks so much

User Guilherme Miranda
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1 Answer

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23 votes

Answer

Step-by-step explanation

Given


f\mleft(x\mright)=-x^3+4x-2

Thus, to find the slope of the tangent line, we have to find the derivative:


f^(\prime)(x)=-3x^(3-1)+4\cdot1\cdot x^(1-1)-0
f^(\prime)(x)=-3x2+4x^0
f^(\prime)(x)=-3x2+4x^0

User Dan Wolchonok
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