Mathematics

Mathematics

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

c) the slope of the tangent to the curve at

x=a

d) the angle which the tangent makes with the

x

-axis at

x=a

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