Solve 15x+20x+x

$$15 x + 20 x + x$$

Evaluate

$$36x$$

Solution Steps

Combine 15x and 20x to get 35x.

$$35x+x$$

Combine 35x and x to get 36x.

$$36x$$

Differentiate w.r.t. x

$$36$$

Steps Using Definition of a Derivative

Combine 15x and 20x to get 35x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(35x+x)$$

Combine 35x and x to get 36x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(36x)$$

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

$$36x^{1-1}$$

Subtract 1 from 1.

$$36x^{0}$$

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

$$36\times 1$$

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

$$36$$