Solve 4x+6*2x

$$4x+6 \times 2x$$

Evaluate

$$16x$$

Solution Steps

Multiply 6 and 2 to get 12.

$$4x+12x$$

Combine 4x and 12x to get 16x.

$$16x$$

Differentiate w.r.t. x

$$16$$

Steps Using Definition of a Derivative

Multiply 6 and 2 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x+12x)$$

Combine 4x and 12x to get 16x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x)$$

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

$$16x^{1-1}$$

Subtract 1 from 1.

$$16x^{0}$$

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

$$16\times 1$$

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

$$16$$