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Question

Mathematics Question on Differentiability

Let the function f(x)f(x) be continuous in the interval [a,b][a, b] and differentiable in (a,b)(a, b) . Then there is at least one point cc in (a,b)(a, b) at which the tangent to the curve y=f(x)y = f (x) is parallel to

A

xx - axis

B

yy - axis

C

the straight line

D

the chord joining the points (a,f(a))(a, f (a)) and (b,f(b))(b, f (b))

Answer

the chord joining the points (a,f(a))(a, f (a)) and (b,f(b))(b, f (b))

Explanation

Solution

Answer (d) the chord joining the points (a,f(a))(a, f (a)) and (b,f(b))(b, f (b))