Solve x^2+x^22/2=

$$x ^ { 2 } + x ^ { 2 } \frac { 2 } { 2 } =$$

Evaluate

$$2x^{2}$$

Solution Steps

Divide 2 by 2 to get 1.

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

Combine x^{2} and x^{2}\times 1 to get 2x^{2}.

$$2x^{2}$$

Differentiate w.r.t. x

$$4x$$

Steps Using Definition of a Derivative

Divide 2 by 2 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+x^{2}\times 1)$$

Combine x^{2} and x^{2}\times 1 to get 2x^{2}.

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

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.

$$4x$$