Explain why the expression cannot be used to obtain the slope of the tangent at if but .

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Explain why the expression

\dfrac{g'(t)}{f'(t)}

cannot be used to obtain the slope of the tangent at

t=t_0

f'(t_0)=0

but

g'(t_0)\neq0