Solve 6x*2x-1=

$$6x \times 2x-1=$$

Evaluate

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

Solution Steps

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

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

Multiply 6 and 2 to get 12.

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

Differentiate w.r.t. x

$$24x$$

Steps Using Derivative Rule for Sum

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

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

Multiply 6 and 2 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{2}-1)$$

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}.

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

Multiply 2 times 12.

$$24x^{2-1}$$

Subtract 1 from 2.

$$24x^{1}$$

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

$$24x$$