Solve 25v^2-4v^2

$$25 v ^ { 2 } - 4 v ^ { 2 }$$

Differentiate w.r.t. v

$$42v$$

Steps Using Definition of a Derivative

Combine 25v^{2} and -4v^{2} to get 21v^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}v}(21v^{2})$$

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

$$2\times 21v^{2-1}$$

Multiply 2 times 21.

$$42v^{2-1}$$

Subtract 1 from 2.

$$42v^{1}$$

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

$$42v$$

Evaluate

$$21v^{2}$$

Solution Steps

Combine 25v^{2} and -4v^{2} to get 21v^{2}.

$$21v^{2}$$