Solve -19x+23x-7x+16x

$$-19x+23x-7x+16x$$

Evaluate

$$13x$$

Solution Steps

Combine -19x and 23x to get 4x.

$$4x-7x+16x$$

Combine 4x and -7x to get -3x.

$$-3x+16x$$

Combine -3x and 16x to get 13x.

$$13x$$

Differentiate w.r.t. x

$$13$$

Steps Using Definition of a Derivative

Combine -19x and 23x to get 4x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x-7x+16x)$$

Combine 4x and -7x to get -3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-3x+16x)$$

Combine -3x and 16x to get 13x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(13x)$$

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

$$13x^{1-1}$$

Subtract 1 from 1.

$$13x^{0}$$

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

$$13\times 1$$

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

$$13$$