Solve -2v^2+49v^2

$$- 2 v ^ { 2 } + 49 v ^ { 2 }$$

Differentiate w.r.t. v

$$94v$$

Steps Using Definition of a Derivative

Combine -2v^{2} and 49v^{2} to get 47v^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}v}(47v^{2})$$

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

$$2\times 47v^{2-1}$$

Multiply 2 times 47.

$$94v^{2-1}$$

Subtract 1 from 2.

$$94v^{1}$$

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

$$94v$$

Evaluate

$$47v^{2}$$

Solution Steps

Combine -2v^{2} and 49v^{2} to get 47v^{2}.

$$47v^{2}$$