Solve 10x+100x-20x

$$10 x + 100 x - 20 x$$

Evaluate

$$90x$$

Solution Steps

Combine 10x and 100x to get 110x.

$$110x-20x$$

Combine 110x and -20x to get 90x.

$$90x$$

Differentiate w.r.t. x

$$90$$

Steps Using Definition of a Derivative

Combine 10x and 100x to get 110x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(110x-20x)$$

Combine 110x and -20x to get 90x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(90x)$$

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

$$90x^{1-1}$$

Subtract 1 from 1.

$$90x^{0}$$

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

$$90\times 1$$

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

$$90$$