Solve 4x+7x+6+4

$$4 x + 7 x + 6 + 4$$

Evaluate

$$11x+10$$

Solution Steps

Combine 4x and 7x to get 11x.

$$11x+6+4$$

Add 6 and 4 to get 10.

$$11x+10$$

Differentiate w.r.t. x

$$11$$

Steps Using Derivative Rule for Sum

Combine 4x and 7x to get 11x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x+6+4)$$

Add 6 and 4 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x+10)$$

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}.

$$11x^{1-1}$$

Subtract 1 from 1.

$$11x^{0}$$

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

$$11\times 1$$

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

$$11$$