Solve 4x+8x-2x=?

$$4 x + 8 x - 2 x = ?$$

Evaluate

$$10x$$

Solution Steps

Combine 4x and 8x to get 12x.

$$12x-2x$$

Combine 12x and -2x to get 10x.

$$10x$$

Differentiate w.r.t. x

$$10$$

Steps Using Definition of a Derivative

Combine 4x and 8x to get 12x.

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

Combine 12x and -2x to get 10x.

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

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

$$10x^{1-1}$$

Subtract 1 from 1.

$$10x^{0}$$

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

$$10\times 1$$

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

$$10$$