Determine the value of c, given that the graph of f(x) = cx^2 + 1/x^2 has a point of inflection at (1, f(1))

The value of c is

Step-by-step explanation:

Point of inflection:

A function f(x) has a point of inflection at the values of x for which:

Has a point of inflection at (1, f(1))

This means that

f(x) = cx^2 + 1/x^2

This means that, applying the derivative of a power rule:

Since

The value of c is

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.