Home
Class 12
MATHS
Let f be a function with continuous seco...

Let `f` be a function with continuous second derivative and `f(0)=f^(prime)(0)=0.` Determine a function `g` by `g(x)={(f(x))/x ,x!=0 0,x=0` Then which of the following statements is correct? `g` has a continuous first derivative `g` has a first derivative `g` is continuous but `g` fails to have a derivative `g` has a first derivative but the first derivative is not continuous

Promotional Banner

Similar Questions

Explore conceptually related problems

Compute derivative of g(x)=cotx

Let f be a continuous function satisfying f '(I n x)=[1 for 0 1 and f (0) = 0 then f(x) can be defined as

If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 is 2 (b) 8 (c) 16 (d) 4

Let f be a function defined on [0,2]. Then find the domain of function g(x)=f(9x^2-1)

Find the anti derivative F of f defined by f (x) = 4x^(3) - 6 , where F (0) = 3

Suppose that f(0)=0a n df^(prime)(0)=2, and let g(x)=f(-x+f(f(x)))dot The value of g' (0) is equal to _____

Find the derivatives of the following functions using first principle. f(x)=-x^(2)+2

Find the derivatives of the following functions using first principle. f(x)=-4x+7

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

Suppose the function f(x)-f(2x) has the derivative 5 at x =1 and derivative 7 at x = 2. The derivative of the function f(x)-f(4x) at x = 1, has the value equal to