(i) Find the derivative of x2cos x+5, using first principle. (ii) For

1.	(i) Find the derivative of x2cos x+5, using first principle. (ii) For the function f(x)=⎧⎪⎨⎪⎩a+bx,x<24,x=2b−ax,x>2 limx→2f(x)=f(2). Find the values of a and b.
Answer» (i) Find the derivative of $x^{2} c o s x + 5$ , using first principle. (ii) For the function $f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} a + b x, & x < 2 4, & x = 2 b - a x, & x > 2 \end{matrix}$ ${lim}_{x \to 2} f (x) = f (2)$ . Find the values of a and b.

(i) Find the derivative of x2cos x+5, using first principle. (ii) For the function f(x)=⎧⎪⎨⎪⎩a+bx,x<24,x=2b−ax,x>2 limx→2f(x)=f(2). Find the values of a and b.

Answer»

(i) Find the derivative of $x^{2} c o s x + 5$ , using first principle.

(ii) For the function $f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} a + b x, & x < 2 4, & x = 2 b - a x, & x > 2 \end{matrix}$

${lim}_{x \to 2} f (x) = f (2)$ . Find the values of a and b.