If `f(x)=e^(x)`, then the value of `f(b)*f(-b)` is

If f(x)=e^(x) , then the value of 7 f (x) will be equal to

In the Mean value theorem f(b)-f(a)=(b-a)f'(c), if a=4, b=9 and f(x)= sqrtx , then the value of c is

Let y=f(x) satisfies (dy)/(dx)=(x+y)/(x) and f(e)=e then the value of f(1) is

If B=int(1)/(e^(x)+1)dx=-f(x)+C , where C is the constant of integration and e^(f(0))=2 , then the value of e^(f(-1)) is

Suppose f(x)=e^(ax)+e^(bx), where a!=b, and that f''(x)-2f'(x)-15f(x)=0 for all x Then the value of (ab)/(3) is

If f(x)=e^(px+2), then f(a)f(b) is

If f(x)=(x)/(x-1) , then evaluate : (f(a//b))/(f(b//a))

If a function f(x) satisfies f'(x)=g(x) . Then, the value of int_(a)^(b)f(x)g(x)dx is