MCQ
A function $f$ is defined as follows,
$f(x) =$ $\left\{ {\begin{array}{*{20}{c}} {\sin \,x}&{if\,\,\,x\,\, \leqslant \,\,c} \\ {ax\, + \,b}&{if\,\,\,x\,\, > \,\,c} \end{array}} \right.$ where $c$ is a known quantity.
If $f$ is derivable at $x = c$ , then the values of $'a'$ $and$ $'b’$ are _____ $and$______ respectively
- A$sin\, c \, and \,sin \,c - c \,cos\, c $
- B$sin\, c \, and \,sin \,c - c \,cos\, c $
- C$cos\, c \, and \,sin \,c+ c \,cos\, c $
- ✓$cos\, c \, and \,sin \,c - c \,cos\, c $