Solve 8x+8x+2x+4x

$$8 x + 8 x + 2 x + 4 x$$

Evaluate

$$22x$$

Solution Steps

Combine 8x and 8x to get 16x.

$$16x+2x+4x$$

Combine 16x and 2x to get 18x.

$$18x+4x$$

Combine 18x and 4x to get 22x.

$$22x$$

Differentiate w.r.t. x

$$22$$

Steps Using Definition of a Derivative

Combine 8x and 8x to get 16x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x+2x+4x)$$

Combine 16x and 2x to get 18x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(18x+4x)$$

Combine 18x and 4x to get 22x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(22x)$$

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

$$22x^{1-1}$$

Subtract 1 from 1.

$$22x^{0}$$

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

$$22\times 1$$

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

$$22$$