f(x) = mx + c, Checking the differentiability at x = 0 This is the derivative of a function at x = 0, and also this is the derivative of this function at every value of x.
If f (x) =, find f’ (4).
f(x) = x3 + 7x2 + 8x – 9, => Checking the differentiability at x = 4
If for the function Ø (x) =, Ø’ (5) = 97, find λ.
Finding the value of λ given in the real function and we are given with the differentiability of the function f(x) = λx2 + 7x – 4 at x = 5 which is f ‘(5) = 97 =>
Show that the derivative of the function f is given by f (x) =
, at x = 1 and x = 2 are equal.
We are given with a polynomial function f(x) = 2x3 – 9x2 + 12x + 9, and we have
If f is defined by f (x) = – 4x + 7, show that f’ (5) = 2 f’ (7/2)
If f is defined by f (x) =, find f’ (2).
Discuss the continuity and differentiability of the function f (x) = |x| + |x -1| in the interval of (-1, 2).
Since, a polynomial and a constant function is continuous and differentiable everywhere => f(x) is continuous and differentiable for x ∈ (-1, 0) and x ∈ (0, 1) and (1, 2). Checking continuity...
Show that the function is defined as follows Is continuous at , but not differentiable thereat.
Since, LHL = RHL = f (2) Hence, F(x) is continuous at x = 2 Checking the differentiability at x = 2 $=> 5$ Since, (RHD at x = 2) ≠ (LHD at x = 2) Hence, f (2) is not differentiable at x =...
checking differentiability of given function at x = 3 => LHD (at x = 3) = RHD (at x = 3) = 12 Since, (LHD at x = 3) = (RHD at x = 3) Hence, f(x) is differentiable at x = 3.
Show that f (x) = is not differentiable at x = 0.
Since, LHD and RHD does not exist at x = 0 Hence, f(x) is not differentiable at x = 0