Solve 6x+3x+9x

$$6 x + 3 x + 9 x$$

Evaluate

$$18x$$

Solution Steps

Combine 6x and 3x to get 9x.

$$9x+9x$$

Combine 9x and 9x to get 18x.

$$18x$$

Differentiate w.r.t. x

$$18$$

Steps Using Definition of a Derivative

Combine 6x and 3x to get 9x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x+9x)$$

Combine 9x and 9x to get 18x.

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

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

$$18x^{1-1}$$

Subtract 1 from 1.

$$18x^{0}$$

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

$$18\times 1$$

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

$$18$$