The quantity for a differentiable curve represents:

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The quantity

\left.\dfrac{dy}{dx}\right|_{x=a}

for a differentiable curve

y=f(x)

represents: (a) the slope of the secant through

(a,f(a))

and

(a+h,f(a+h))

for a small

h

(b) the slope of the normal to the curve at

x=a

x=a

(d) the angle which the tangent makes with the

x

-axis at

x=a