Solve 8y^2-2y^2

$$8 y ^ { 2 } - 2 y ^ { 2 }$$

Differentiate w.r.t. y

$$12y$$

Steps Using Definition of a Derivative

Combine 8y^{2} and -2y^{2} to get 6y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(6y^{2})$$

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

$$2\times 6y^{2-1}$$

Multiply 2 times 6.

$$12y^{2-1}$$

Subtract 1 from 2.

$$12y^{1}$$

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

$$12y$$

Evaluate

$$6y^{2}$$

Solution Steps

Combine 8y^{2} and -2y^{2} to get 6y^{2}.

$$6y^{2}$$