Solve y^2-(-5y^2)

$$y ^ { 2 } - ( - 5 y ^ { 2 } )$$

Evaluate

$$6y^{2}$$

Solution Steps

The opposite of -5y^{2} is 5y^{2}.

$$y^{2}+5y^{2}$$

Combine y^{2} and 5y^{2} to get 6y^{2}.

$$6y^{2}$$

Differentiate w.r.t. y

$$12y$$

Steps Using Definition of a Derivative

The opposite of -5y^{2} is 5y^{2}.

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

Combine y^{2} and 5y^{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.

$$12y$$