If f(x)=x^n and f^ (1)=10 , then the value of ' n ' is

Step-by-step solution

Given f(x) = x^ n . The derivative of f(x) with respect to x is f^ (x) = n x^ n-1 . It is given that f^ (1) = 10 . Substituting x = 1 into the derivative expression: f^ (1) = n(1)^ n-1 = n(1) = n . Therefore, n = 10 . Answer: 10