If and , what does the value…

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

y=f(x)

and

\displaystyle\frac{dy}{dx}\Big|_{x=a}=7

, what does the value

7

represent? (a) Rate of change of

x

with respect to

y

x=a

(b) Average rate of change of

y

with respect to

x

over the interval

[a,a+1]

y=f(x)

x=a

(d) Area under the curve

y=f(x)

from

x=0

x=a