Solve 11x++34x-1

$$11 x + + 3 4 x - 1$$

Evaluate

$$23x-1$$

Solution Steps

Multiply 3 and 4 to get 12.

$$11x+12x-1$$

Combine 11x and 12x to get 23x.

$$23x-1$$

Differentiate w.r.t. x

$$23$$

Steps Using Derivative Rule for Sum

Multiply 3 and 4 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x+12x-1)$$

Combine 11x and 12x to get 23x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(23x-1)$$

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}.

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

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.

$$23$$