Solve 4x+2x*4

$$4x+2x \times 4$$

Evaluate

$$12x$$

Solution Steps

Multiply 2 and 4 to get 8.

$$4x+8x$$

Combine 4x and 8x to get 12x.

$$12x$$

Differentiate w.r.t. x

$$12$$

Steps Using Definition of a Derivative

Multiply 2 and 4 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x+8x)$$

Combine 4x and 8x to get 12x.

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

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

$$12x^{1-1}$$

Subtract 1 from 1.

$$12x^{0}$$

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

$$12\times 1$$

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

$$12$$