Solve x*3+8div2-6=

$$x \times 3 + 8 \div 2 - 6 =$$

Evaluate

$$3x-2$$

Solution Steps

Divide 8 by 2 to get 4.

$$x\times 3+4-6$$

Subtract 6 from 4 to get -2.

$$x\times 3-2$$

Differentiate w.r.t. x

$$3$$

Steps Using Derivative Rule for Sum

Divide 8 by 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 3+4-6)$$

Subtract 6 from 4 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 3-2)$$

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}.

$$3x^{1-1}$$

Subtract 1 from 1.

$$3x^{0}$$

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

$$3\times 1$$

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

$$3$$