f(x)=e^(x)" in "[0,1]

Let f(x)=e^(x), x in [0,1] , then the number c of Lagrange's mean value theorem is -

Let f(x) =e^(x), x in [0,1] , then a number c of the Largrange's mean value theorem is

Let f(x) =e^(x), x in [0,1] , then a number c of the Largrange's mean value theorem is

Verify Lagrange's mean-value theorem for each of the following functions f(x) = e^(x) " on " [0, 1]

Let f(x) = e^(x), x in [0,1] , then a number c of the Lagrange's mean value theorem is

A Function f(x) satisfies the relation f(x)=e^(x)+int_(0)^(1)e^(x)f(t)dt* Then (a)f(0) 0

A continuous function f(x) satisfies the relation f(x)=e^(x)+int_(0)^(1)e^(x)f(t)dt then f(1)=

Find f(x) if it satisfies the relation f(x)=e^(x)+int_(0)^(1)(x+ye^(x))f(y)dy

Let f be a continuous function on R and satisfies f(x)=e^(x)+int_(0)^(1)e^(x)f(t)dt, then which of the following is(are) correct?

Find c so that f'(c)=(f(b)-f(a))/(b-a) " where " f(x)=e^(x), a=0, b=1