Provide an appropriate response.Does the curve y = ever have a negative slope? If so, where? Give reasons for your answer.

Question

What will be an ideal response?

Answer 1

The curve y =   never has a negative slope. The derivative of the curve is y' = , which is never negative. A curve only has a negative slope where its derivative is negative. Since the derivative of y =   is never negative, the curve never has a negative slope.