## Related questions with answers

Question

suppose that $f(\sigma(t))$ is an increasing function of $t$. What can you say about the angle between the gradient $\nabla f$ and the velocity vector $\sigma^{\prime}$ ?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Since $f({\bf \sigma}(t))$ is an increasing function then the angle between the gradient and the velocity vector ${\bf \sigma}'$ is between $0$ and $\pi/2$.

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