Solve (0+h)^2-(0+h)+1

$$( 0 + h ) ^ { 2 } - ( 0 + h ) + 1$$

Evaluate

$$h^{2}-h+1$$

Solution Steps

Anything plus zero gives itself.

$$h^{2}-\left(0+h\right)+1$$

Anything plus zero gives itself.

$$h^{2}-h+1$$

Differentiate w.r.t. h

$$2h-1$$

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}.

$$2h^{2-1}-h^{1-1}$$

Subtract 1 from 2.

$$2h^{1}-h^{1-1}$$

Subtract 1 from 1.

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

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

$$2h-h^{0}$$

For any term t except 0, t^{0}=1.

$$2h-1$$