Solve -2w^2+7w^2

$$- 2 w ^ { 2 } + 7 w ^ { 2 }$$

Differentiate w.r.t. w

$$10w$$

Steps Using Definition of a Derivative

Combine -2w^{2} and 7w^{2} to get 5w^{2}.

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

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

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

Multiply 2 times 5.

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

Subtract 1 from 2.

$$10w^{1}$$

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

$$10w$$

Evaluate

$$5w^{2}$$

Solution Steps

Combine -2w^{2} and 7w^{2} to get 5w^{2}.

$$5w^{2}$$