Solve 5x+8x-3(2x)+4

$$5 x + 8 x - 3 ( 2 x ) + 4$$

Evaluate

$$7x+4$$

Solution Steps

Combine 5x and 8x to get 13x.

$$13x-3\times 2x+4$$

Multiply 3 and 2 to get 6.

$$13x-6x+4$$

Combine 13x and -6x to get 7x.

$$7x+4$$

Differentiate w.r.t. x

$$7$$

Steps Using Derivative Rule for Sum

Combine 5x and 8x to get 13x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(13x-3\times 2x+4)$$

Multiply 3 and 2 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(13x-6x+4)$$

Combine 13x and -6x to get 7x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x+4)$$

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}.

$$7x^{1-1}$$

Subtract 1 from 1.

$$7x^{0}$$

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

$$7\times 1$$

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

$$7$$