Solve r+3-6r+r

$$r + 3 - 6 r + r$$

Evaluate

$$3-4r$$

Solution Steps

Combine r and -6r to get -5r.

$$-5r+3+r$$

Combine -5r and r to get -4r.

$$-4r+3$$

Differentiate w.r.t. r

$$-4$$

Steps Using Derivative Rule for Sum

Combine r and -6r to get -5r.

$$\frac{\mathrm{d}}{\mathrm{d}r}(-5r+3+r)$$

Combine -5r and r to get -4r.

$$\frac{\mathrm{d}}{\mathrm{d}r}(-4r+3)$$

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}.

$$-4r^{1-1}$$

Subtract 1 from 1.

$$-4r^{0}$$

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

$$-4$$