Solve (2^2-3)+(h^2-3)

$$( 2 ^ { 2 } - 3 ) + ( h ^ { 2 } - 3 )$$

Evaluate

$$h^{2}-2$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$4-3+h^{2}-3$$

Subtract 3 from 4 to get 1.

$$1+h^{2}-3$$

Subtract 3 from 1 to get -2.

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

Differentiate w.r.t. h

$$2h$$

Steps Using Derivative Rule for Sum

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}h}(4-3+h^{2}-3)$$

Subtract 3 from 4 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}h}(1+h^{2}-3)$$

Subtract 3 from 1 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}h}(-2+h^{2})$$

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}.

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

Subtract 1 from 2.

$$2h^{1}$$

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

$$2h$$