If  then The Set Of All Points Where The Derivative Exist Is

Let

The values of the coefficient a and b for which the function is continuous and has a derivative at x₀, are

Given f’(2) = 6 and f’(1) = 4.  

Let f : R âŸ¶ R be such that f(1) = 3 and f’(1) = 6. Then

The domain of the derivative of the function

If f (0) = 0, f’(0) = 2 then the derivative of  at x = 0 is 

If f is differentiable for all x then 

Let f and g be differentiable function such that f’(x) = 2g(x) and g’(x) = –f(x), and let T(x) = (f (x))² – (g(x))². Then T’(x) is equal to

Let f be a twice differentiable function such that f’’(x) = –f(x) and f’(x) = g(x). If h’(x) = [f(x)]² + [g(x)]², h(1) = 8 and 

h(0) = 2, then h(2) is equal to

If y² = P(x) is a polynomial of degree 3, then    

              is equal to  

The value of y’’ (1) if x³ – 2x²y² + 5x + y – 5 = 0 when y(1) = 1, is equal to