Solve x^2+x^2+x^2+1

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

Evaluate

$$3x^{2}+1$$

Solution Steps

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

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

Combine 2x^{2} and x^{2} to get 3x^{2}.

$$3x^{2}+1$$

Differentiate w.r.t. x

$$6x$$

Steps Using Derivative Rule for Sum

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

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

Combine 2x^{2} and x^{2} to get 3x^{2}.

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

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}.

$$2\times 3x^{2-1}$$

Multiply 2 times 3.

$$6x^{2-1}$$

Subtract 1 from 2.

$$6x^{1}$$

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

$$6x$$