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

If f(x)=1-x+x^(2)-x^(3)+ . . .-x^(99)+x^(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

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

f(x)=x^(2) . Find f^(-1) .

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)=x/2 + 2/x and f(1)=5/4 , then find f(x) .

Let f:DtoR , where D is the domain of f . Find the inverse of f if it exists: Let f:[0,3]to[1,13] is defined by f(x)=x^(2)+x+1 , then find f^(-1)(x) .

If f(x^(2) - 4x + 4) = x^(2) + 1 . Find f(1) if f(1) lt 8 .

If f'(x) = 1/x + x^2 and f(1)=4/3 then find the value of f(x)

Find the derivative of the function f(x) given by f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8) and hence find f^(prime)(1)