Solve 1x^2+2^2+1

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

Evaluate

$$x^{2}+5$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

Add 4 and 1 to get 5.

$$1x^{2}+5$$

For any term t, t\times 1=t and 1t=t.

$$x^{2}+5$$

Differentiate w.r.t. x

$$2x$$

Steps Using Derivative Rule for Sum

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1x^{2}+4+1)$$

Add 4 and 1 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1x^{2}+5)$$

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}.

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

Subtract 1 from 2.

$$2x^{1}$$

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

$$2x$$