Question

If f(x)=x2−1, what is the equation for f′(x)?

A. f′(x)=x+1
B. f−1(x)=±x−1​
C. f−1(x)=++1
D. 4−1(x)=±x−1​

Answer 1

The equation for the derivative of the function f(x) = x^2 - 1 is f'(x) = 2x.

Step-by-step explanation:

The equation for the derivative of the function f(x) = x^2 - 1 can be found using the power rule for derivatives. The power rule states that if f(x) = x^n, then the derivative f'(x) = nx^(n-1). Applying this rule to the given function:

f'(x) = 2x^1 = 2x

Therefore, the equation for f'(x) is f'(x) = 2x.