Solve 28x-2+10x+3

$$28x-2+10x+3$$

Evaluate

$$38x+1$$

Solution Steps

Combine 28x and 10x to get 38x.

$$38x-2+3$$

Add -2 and 3 to get 1.

$$38x+1$$

Differentiate w.r.t. x

$$38$$

Steps Using Derivative Rule for Sum

Combine 28x and 10x to get 38x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(38x-2+3)$$

Add -2 and 3 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(38x+1)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$38x^{1-1}$$

Subtract 1 from 1.

$$38x^{0}$$

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

$$38\times 1$$

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

$$38$$