Solve y^2+y^2+y^2

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

Evaluate

$$3y^{2}$$

Solution Steps

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

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

Combine 2y^{2} and y^{2} to get 3y^{2}.

$$3y^{2}$$

Differentiate w.r.t. y

$$6y$$

Steps Using Definition of a Derivative

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

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

Combine 2y^{2} and y^{2} to get 3y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(3y^{2})$$

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

$$2\times 3y^{2-1}$$

Multiply 2 times 3.

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

Subtract 1 from 2.

$$6y^{1}$$

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

$$6y$$