Question

For the function, solve the following:

a) f(x)=0
b) f(x)=1
c) f(x)=−1
d) f′(x)=0

Answer 1

To solve the given function f(x), we need to find the values of x at which f(x) is equal to 0, 1, -1, and the derivative of f(x) is equal to 0.

Step-by-step explanation:

To solve the given function f(x), we need to find the values of x at which f(x) is equal to 0, 1, -1, and the derivative of f(x) is equal to 0.

a) To solve f(x) = 0, we can set the function equal to 0 and solve for x. For example, if f(x) = x^2, then setting x^2 = 0 gives us x = 0.

b) To solve f(x) = 1, we can set the function equal to 1 and solve for x. For example, if f(x) = x^2, then setting x^2 = 1 gives us x = -1 and x = 1.

c) To solve f(x) = -1, we can set the function equal to -1 and solve for x. For example, if f(x) = x^2, then setting x^2 = -1 has no real solutions.

d) To solve f'(x) = 0, we need to find the derivative of f(x) and set it equal to 0. For example, if f(x) = x^2, then f'(x) = 2x, and setting 2x = 0 gives us x = 0.