Find the derivative of `f(x)={(x-1)/(2x^2-7x+5)w h e nx!=1 and-1/3w h e nx=1} atx=1.`

Find the derivative of f(x)=1+x+x^(2)+x^(3)+…+x^(50)" at "x=1 .

The derivative of (x+(1)/(x))^(2) w.r.to.x is ………………

The derivative of (x +1/x)^(2) w.r.to . X is ……….

The derivative of (x+(1)/(x))^(2) w.r.to x is …………………. .

Find the range of f(x)=(x-[x])/(1-[x]+x '),w h e r e[] represents the greatest integer function.

Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex > 0. Then int_1^3(sin2x)/xdx can be expressed as (a) F(6)-F(2) (b) 1/2(F(6)-f(2)) (c) 1/2(F(3)-f(1)) (d) 2(F(6))-F(2))

Derivative of f(x)=x^n is nx^(n-1) for any positive integer n.

Find the largest term in the expansion of (3+2x)^(50),w h e r ex=1//5.

Find the domain and range of f(x)=sin^(-1)[x]w h e r[] represents the greatest function).

Statement 1: Greatest term in the expansion of (1+x)^(12),w h e nx=11//10 is 7th Statement 2: 7th term in the expansion of (1+x)^(12) has the factor ^12 C_6 which is greatest value of ^12 C_rdot