Solve x^2+3+6x^2-0

$$x ^ { 2 } + 3 + 6 x ^ { 2 } - 0$$

Evaluate

$$7x^{2}+3$$

Solution Steps

Combine x^{2} and 6x^{2} to get 7x^{2}.

$$7x^{2}+3-0$$

Multiply -1 and 0 to get 0.

$$7x^{2}+3+0$$

Add 3 and 0 to get 3.

$$7x^{2}+3$$

Differentiate w.r.t. x

$$14x$$

Steps Using Derivative Rule for Sum

Combine x^{2} and 6x^{2} to get 7x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{2}+3-0)$$

Multiply -1 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{2}+3+0)$$

Add 3 and 0 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{2}+3)$$

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}.

$$2\times 7x^{2-1}$$

Multiply 2 times 7.

$$14x^{2-1}$$

Subtract 1 from 2.

$$14x^{1}$$

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

$$14x$$