Solve f(x_{0})=2(x_{0})^2-1=

$$f ( x _ { 0 } ) = 2 ( x _ { 0 } ) ^ { 2 } - 1 =$$

Differentiate w.r.t. x_0

$$4x_{0}$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2\times 2x_{0}^{2-1}$$

Multiply 2 times 2.

$$4x_{0}^{2-1}$$

Subtract 1 from 2.

$$4x_{0}^{1}$$

For any term t, t^{1}=t.

$$4x_{0}$$

Evaluate

$$2x_{0}^{2}-1$$