Solve 12x+17x+25x

$$12x+17x+25x$$

Evaluate

$$54x$$

Solution Steps

Combine 12x and 17x to get 29x.

$$29x+25x$$

Combine 29x and 25x to get 54x.

$$54x$$

Differentiate w.r.t. x

$$54$$

Steps Using Definition of a Derivative

Combine 12x and 17x to get 29x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(29x+25x)$$

Combine 29x and 25x to get 54x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(54x)$$

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

$$54x^{1-1}$$

Subtract 1 from 1.

$$54x^{0}$$

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

$$54\times 1$$

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

$$54$$