Solve 2x+4+5x-3+2x-1

$$2x+4+5x-3+2x-1$$

Evaluate

$$9x$$

Solution Steps

Combine 2x and 5x to get 7x.

$$7x+4-3+2x-1$$

Subtract 3 from 4 to get 1.

$$7x+1+2x-1$$

Combine 7x and 2x to get 9x.

$$9x+1-1$$

Subtract 1 from 1 to get 0.

$$9x$$

Differentiate w.r.t. x

$$9$$

Steps Using Definition of a Derivative

Combine 2x and 5x to get 7x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x+4-3+2x-1)$$

Subtract 3 from 4 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x+1+2x-1)$$

Combine 7x and 2x to get 9x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x+1-1)$$

Subtract 1 from 1 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x)$$

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

$$9x^{1-1}$$

Subtract 1 from 1.

$$9x^{0}$$

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

$$9\times 1$$

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

$$9$$