Solve 7y(y)

$$7 y ( y )$$

Differentiate w.r.t. y

$$14y$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(7y^{2})$$

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

$$2\times 7y^{2-1}$$

Multiply 2 times 7.

$$14y^{2-1}$$

Subtract 1 from 2.

$$14y^{1}$$

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

$$14y$$

Evaluate

$$7y^{2}$$

Solution Steps

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

$$7y^{2}$$