Solve 6x^2+x-2div2x-1

$$6 { x }^{ 2 } +x-2 \div 2x-1$$

Evaluate

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

Solution Steps

Divide 2 by 2 to get 1.

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

Combine x and -x to get 0.

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

Differentiate w.r.t. x

$$12x$$

Steps Using Derivative Rule for Sum

Divide 2 by 2 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{2}+x-x-1)$$

Combine x and -x to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{2}-1)$$

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}.

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

Multiply 2 times 6.

$$12x^{2-1}$$

Subtract 1 from 2.

$$12x^{1}$$

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

$$12x$$