Solve 6r^2-r^2

$$6 r ^ { 2 } - r ^ { 2 }$$

Differentiate w.r.t. r

$$10r$$

Steps Using Definition of a Derivative

Combine 6r^{2} and -r^{2} to get 5r^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}r}(5r^{2})$$

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

$$2\times 5r^{2-1}$$

Multiply 2 times 5.

$$10r^{2-1}$$

Subtract 1 from 2.

$$10r^{1}$$

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

$$10r$$

Evaluate

$$5r^{2}$$

Solution Steps

Combine 6r^{2} and -r^{2} to get 5r^{2}.

$$5r^{2}$$