Let `f` be differentiable at `x = 0` and `f'(0) = 1`. Then `lim_(h->0) (f(h)-f(-2h))/h=`

Let f be differentiable at x=0 and f'(0)=1 Then lim_(h rarr0)(f(h)-f(-2h))/(h)=

If f'(3)=2 , then lim_(h->0)(f(3+h^2)-f(3-h^2))/(2h^2) is

f:R to R defined by f(x).f(y)=f(x+y) forall x,y in R and f(x) ne 0 for x in R , f is differential at x=0 and f'(0)=3 then lim_(hrarr0) 1/h[f(h)-1]=

If f(x) is differentiable at x=a and f^(prime)(a)=1/4dot Find (lim)_(h->0)(f(a+2h^2)-f(a-2h^2))/(h^2)

If f'(2)=1 , then lim_(h to 0)(f(2+h)-f(2-h))/(2h) is equal to

If f(x) is a differentiable function of x then lim_(h rarr0)(f(x+3h)-f(x-2h))/(h)=

Which of the following statements are true? If fis differentiable at x=c, then lim_(h rarr0)(f(c+h)-f(c-h))/(2h) exists and equals f'(c)

let f(x) be differentiable at x=h then lim_(x rarr h)((x+h)f(x)-2hf(h))/(x-h) is equal to

If f (x) is differentiable at x = h , find the value of lim_(s to h)((x+h)f(x)-2hf(h))/(x-h)

Suppose f(x) is differentiable at x = 1 and lim_(h->0) 1/h f(1+h)=5 , then f'(1) equal