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

Answer

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$