If : `R rarr R^+` be a differentiable function and `g(x) = e^(2x) ( 2 f(x) - 3 ( f(x))^2 + 2 (f(x))^3) for x in R`, then

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

Let f:R to R and h:R to R be differentiable functions such that f(x)=x^(3)+3x+2,g(f(x))=x and h(g(x))=x for all x in R . Then,

If f:R rarr R be a differentiable function such that f(x+2y)=f(x)+f(2y)+4xy, AA x,y in R , f(2)=10 , then f(3)=?

Let f:R to R and g:R to R be differentiable functions such that f(x)=x^(3)+3x+2, g(f(x))=x"for all "x in R , Then, g'(2)=

Let f:R to R and g:R to R be differentiable functions such that f(x)=x^(3)+3x+2, g(f(x))=x"for all "x in R , Then, g'(2)=

let f:R rarr R be a continuous function defined by f(x)=(1)/(e^(x)+2e^(-x))

If f:R rarr R be a function defined as f(x)=(x^(2)-8)/(x^(2)+2) , then f is

if f:R rarr R is a differentiable function such that f'(x)>2f(x) for all x varepsilon R, and f(0)=1, then

Let f: R rarr R be a function defined by f(x)=x^2-3 x+2 Find f^' (2) and f^'(6)

Let f:R rarr[0,oo) be a differentiable function so that f'(x) is continuous function then int((f(x)-f'(x))e^(x))/((e^(x)+f(x))^(2))dx is equal to