Mathematics

Problem

Which of the following relationships between the slope

m_t

of the tangent line to a differentiable curve at a point and the slope

m_n

of the corresponding normal line at that point is always true, provided

m_t\neq 0

? a)

m_n=-m_t

m_n=\dfrac{1}{m_t}

m_n=-\dfrac{1}{m_t}

m_n=-m_t^{2}