Solve 7y*7y

$$7 y \times 7 y$$

Evaluate

$$49y^{2}$$

Solution Steps

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

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

Multiply 7 and 7 to get 49.

$$49y^{2}$$

Differentiate w.r.t. y

$$98y$$

Steps Using Definition of a Derivative

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

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

Multiply 7 and 7 to get 49.

$$\frac{\mathrm{d}}{\mathrm{d}y}(49y^{2})$$

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

$$2\times 49y^{2-1}$$

Multiply 2 times 49.

$$98y^{2-1}$$

Subtract 1 from 2.

$$98y^{1}$$

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

$$98y$$