Solve (x^2-4)+(x^2+4)

$$( x ^ { 2 } - 4 ) + ( x ^ { 2 } + 4 )$$

Evaluate

$$2x^{2}$$

Solution Steps

Combine x^{2} and x^{2} to get 2x^{2}.

$$2x^{2}-4+4$$

Add -4 and 4 to get 0.

$$2x^{2}$$

Differentiate w.r.t. x

$$4x$$

Steps Using Definition of a Derivative

Combine x^{2} and x^{2} to get 2x^{2}.

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

Add -4 and 4 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\times 2x^{2-1}$$

Multiply 2 times 2.

$$4x^{2-1}$$

Subtract 1 from 2.

$$4x^{1}$$

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

$$4x$$