Solve 4*3+18xdiv9-12

$$4 \times 3 + 18 x \div 9 - 12$$

Evaluate

$$2x$$

Solution Steps

Multiply 4 and 3 to get 12.

$$12+\frac{18x}{9}-12$$

Divide 18x by 9 to get 2x.

$$12+2x-12$$

Subtract 12 from 12 to get 0.

$$2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Multiply 4 and 3 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12+\frac{18x}{9}-12)$$

Divide 18x by 9 to get 2x.

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

Subtract 12 from 12 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x)$$

The derivative of ax^{n} is nax^{n-1}.

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

Subtract 1 from 1.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$