Q 19 For what choice of a and b, is the function f(x)= x2 - Maths - Continuity and Differentiability

Question

Q 19 For what choice of a and b, is the function
f ( x ) =         x 2      
                ,   x
≤ c a x + b              
    ,   x > c differentiable at x = c ?

Shruti Tyagi · Accepted Answer

Dear student,
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Q.19. For what choice of a and b, is the function f ( x ) = x 2 , x ≤ c a x + b , x > c differentiable at x = c ?

Q.19. For what choice of a and b, is the function
$f (x) = \{\begin{cases} x^{2}, x \leq c \\ a x + b, x > c \end{cases}$ differentiable at x = c ?