Solve 5x+17x+x

$$5x+17x+x$$

Evaluate

$$23x$$

Solution Steps

Combine 5x and 17x to get 22x.

$$22x+x$$

Combine 22x and x to get 23x.

$$23x$$

Differentiate w.r.t. x

$$23$$

Steps Using Definition of a Derivative

Combine 5x and 17x to get 22x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(22x+x)$$

Combine 22x and x to get 23x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(23x)$$

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

$$23x^{1-1}$$

Subtract 1 from 1.

$$23x^{0}$$

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

$$23\times 1$$

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

$$23$$