Solve 4*8+2*4+x*2+1*3

$$4 \times 8+2 \times 4+x \times 2+1 \times 3$$

Evaluate

$$2x+43$$

Solution Steps

Multiply 4 and 8 to get 32. Multiply 2 and 4 to get 8. Multiply 1 and 3 to get 3.

$$32+8+x\times 2+3$$

Add 32 and 8 to get 40.

$$40+x\times 2+3$$

Add 40 and 3 to get 43.

$$43+x\times 2$$

Differentiate w.r.t. x

$$2$$

Steps Using Derivative Rule for Sum

Multiply 4 and 8 to get 32. Multiply 2 and 4 to get 8. Multiply 1 and 3 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(32+8+x\times 2+3)$$

Add 32 and 8 to get 40.

$$\frac{\mathrm{d}}{\mathrm{d}x}(40+x\times 2+3)$$

Add 40 and 3 to get 43.

$$\frac{\mathrm{d}}{\mathrm{d}x}(43+x\times 2)$$

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}.

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

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.

$$2$$