Solve (x^2-x^2+6x-3)+(x-2)

$$( x ^ { 2 } - x ^ { 2 } + 6 x - 3 ) + ( x - 2 )$$

Evaluate

$$7x-5$$

Solution Steps

Combine x^{2} and -x^{2} to get 0.

$$6x-3+x-2$$

Combine 6x and x to get 7x.

$$7x-3-2$$

Subtract 2 from -3 to get -5.

$$7x-5$$

Differentiate w.r.t. x

$$7$$

Steps Using Derivative Rule for Sum

Combine x^{2} and -x^{2} to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x-3+x-2)$$

Combine 6x and x to get 7x.

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

Subtract 2 from -3 to get -5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x-5)$$

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}.

$$7x^{1-1}$$

Subtract 1 from 1.

$$7x^{0}$$

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

$$7\times 1$$

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

$$7$$