Question

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

Answer 1

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`