Solve 3x-12div4-80div16*2

$$3 x - 12 \div 4 - 80 \div 16 \times 2$$

Evaluate

$$3x-13$$

Solution Steps

Divide 12 by 4 to get 3.

$$3x-3-\frac{80}{16}\times 2$$

Divide 80 by 16 to get 5.

$$3x-3-5\times 2$$

Multiply 5 and 2 to get 10.

$$3x-3-10$$

Subtract 10 from -3 to get -13.

$$3x-13$$

Differentiate w.r.t. x

$$3$$

Steps Using Derivative Rule for Sum

Divide 12 by 4 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x-3-\frac{80}{16}\times 2)$$

Divide 80 by 16 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x-3-5\times 2)$$

Multiply 5 and 2 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x-3-10)$$

Subtract 10 from -3 to get -13.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x-13)$$

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.

$$3$$