If `f(x)=1+x+x^2+\ ddot+x^(100)` then `f^(prime)(1)=____`

If f(x)=1+x+(x^2)/2++(x^(100))/(100), then f^(prime)(1) is equal to

If f(x)=1+x+(x^2)/2+...+(x^(100))/(100), then f^(prime)(1) is equal to a. 1/(100) b. 100 c. 50 d. 0

If f(x) = 1+x + x^(2)/2 + …. + x^(100)/100 , then f^(')(1) is equal to

If f(x)=1-x+x^2-x^3+...-x^(99)+x^(100) , then f^(prime)(1) equals a. 150 b. -50 c. -150 d. 50

If f(x)=1-x+x^2-x^3+......-x^(99)+x^(100) then f^(prime)(1) equals

If f(x)=1+x+x^(2)+.......+x^(100) then f'(1)=-

If f(x)=x^(100)+x^(99)++x+1, then f^(prime)(1) is equal to

If f(x)=x^(100)+x^(99)+...+x+1, then f^(prime)(1) is equal to a. 5050 b. 5049 c. 5051 d. 50051

If f(x)=1-x+x^(2)-x^(3)+ . . .-x^(99)+x^(100) then f'(1) is equal to

The function f: RvecR satisfies f(x^2)dotf^(x)=f^(prime)(x)dotf^(prime)(x^2) for all real xdot Given that f(1)=1 and f^(1)=8 , then the value of f^(prime)(1)+f^(1) is 2 b. 4 c. 6 d. 8