x^(n)+ax^(n-1)+a^(2)x^(n-2)+...+a^(n-1)x+a^(n)

Find the derivative of x^(n)+ax^(n-1)1+a^(2)x^(n-2)+...+a^(n-1)x+a^(n) for some fixed real number a.

Find the derivative of x^(n)+ax^(n-1)+a^(2)x^(n-1)+ . . .+a^(n-1)x+a^(n) for some fixed real number a.

Find the derivative of x^n + ax^(n-1) + a^2x^(n-2) + ...+ a^(n-1)x + a^n for some fixed real number a.

lim_(x rarr a)x^(n) + ax^(n-1) +a^(2)x^(n-2) + .........+a^(n)= ________.

Let f(x) = a_(0)x^(n) + a_(1)x^(n-1) + a_(2) x^(n-2) + …. + a_(n-1)x + a_(n) , where a_(0), a_(1), a_(2),...., a_(n) are real numbers. If f(x) is divided by (ax - b), then the remainder is

If |[x^(n-1), x^(n+1), x^(n+2)] ,[y^(n-1), y^(n+1), y^(n+2)], [z^(n-1), z^(n+1), z^(n+2)]|= (x-y)(y-z)(z-x)(x^(-1)+y^(-1)+z^(-1)) then n=

If A=([x,x],[x,x]) then A^(n)(n in N)= 1) ([2^nx^n,2^nx^n],[2^nx^n,2^nx^n]) 2) ([2^(n-1) x^n,2^(n-1) x^n],[2^(n-1) x^n,2^(n-1) x^n]) 3) I 4) ([2^(n) x^(n-1),2^(n) x^(n-1)],[2^(n) x^(n-1),2^(n) x^(n-1)])

Divide x^(2n)+a^(2^(n-1))x^(2^(n-1))+a^(2^(n))byx^(2^(n-1))-a^(2^(n-2))x^(2^(n-2))+a^(2^(n-1))

The value of lim_(x rarr1)(x^(n)+x^(n-1)+x^(n-2)+...x^(2)+x-n)/(x-1)

Let S_(n)(x)=(x^(n-1)+(1)/(x^(n-1)))+2(x^(n-2)+(1)/(x^(n-2)))+"....."+(n-1)(x+(1)/(x))+n , then