Solve 12x+5+3x-5

$$12 x + 5 + 3 x - 5$$

Evaluate

$$15x$$

Solution Steps

Combine 12x and 3x to get 15x.

$$15x+5-5$$

Subtract 5 from 5 to get 0.

$$15x$$

Differentiate w.r.t. x

$$15$$

Steps Using Definition of a Derivative

Combine 12x and 3x to get 15x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(15x+5-5)$$

Subtract 5 from 5 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(15x)$$

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

$$15x^{1-1}$$

Subtract 1 from 1.

$$15x^{0}$$

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

$$15\times 1$$

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

$$15$$