Home
Class 12
MATHS
A twice differentiable function f(x) is ...

A twice differentiable function f(x) is denined for all real numbers and satisfies the following conditions : `f(0)=2, f'(0)=-5 and f''(0)=3.` The function g(x) is defined by `g(x)=e^(ax)+f(x) AA x in R`, where 'a' is any constant. If `g'(0)+g''(0)=0`. Then the value/values of a is/are

Promotional Banner

Similar Questions

Explore conceptually related problems

A twice differentiable function f(x)is defined for all real numbers and satisfies the following conditions f(0) = 2; f'(0)--5 and f"(0) = 3 . The function g(x) is defined by g(x) = e^(ax) + f (x) AA x in R , where 'a' is any constant If g'(0) + g"(0)=0 . Find the value(s) of 'a'

Let a function f be defined by f(x)=(x-|x|)/x for x ne 0 and f(0)=2. Then f is

Let a function f be defined by f (x) =[x-|x|]/x for xne 0 and f(0)=2 .Then f is :

Find function f(x) which is differentiable and satisfy the relation f(x+y)=f(x)+f(y)+(e^(x)-1)(e^(y)-1)AA x, y in R, and f'(0)=2.

If f:RR-> RR is a differentiable function such that f(x) > 2f(x) for all x in RR and f(0)=1, then

If a function f satisfies f (f(x))=x+1 for all real values of x and if f(0) = 1/2 then f(1) is equal to

Let f be continuous and the function g is defined as g(x)=int_0^x(t^2int_0^tf(u)du)dt where f(1) = 3 . then the value of g' (1) +g''(1) is