Solve 2x*3-1+2

$$2x \times 3-1+2$$

Evaluate

$$6x+1$$

Solution Steps

Multiply 2 and 3 to get 6.

$$6x-1+2$$

Add -1 and 2 to get 1.

$$6x+1$$

Differentiate w.r.t. x

$$6$$

Steps Using Derivative Rule for Sum

Multiply 2 and 3 to get 6.

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

Add -1 and 2 to get 1.

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

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}.

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

Subtract 1 from 1.

$$6x^{0}$$

For any term t except 0, t^{0}=1.

$$6\times 1$$

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

$$6$$