Are both p's supposed to have the same case here (i.e. are they the same symbol representing the same function?) If not, then this question doesn't make much sense.1. The problem statement, all variables and given/known data
if p(x)= f(x^3), find P'(1)
No, not quite. If I understand the problem right, then what you have is a composite function, and you need to use the chain rule, and you need to know what the functional form of f(x) is. Is f(x) given?can i do the derivative of x^3 is 2x^2, then substitute to get f(2x^2)?, then substitute 1 for x?
No. The chain rule says that the derivative of f(g(x)) is f'(g(x))g'(x). (And, as Cepheid said, the derivative of x^3 is NOT "2x^2".)1. The problem statement, all variables and given/known data
if p(x)= f(x^3), find P'(1)
2. Relevant equations
3. The attempt at a solution
can i do the derivative of x^3 is 2x^2, then substitute to get f(2x^2)?, then substitute 1 for x?
Actually, Char. Limit said that. It was a good catch...(And, as Cepheid said, the derivative of x^3 is NOT "2x^2".)