Solve 361y^2-049z^2

$$361 y ^ { 2 } - 049 z ^ { 2 }$$

Evaluate

$$361y^{2}$$

Solution Steps

Multiply 0 and 49 to get 0.

$$361y^{2}-0z^{2}$$

Anything times zero gives zero.

$$361y^{2}-0$$

Differentiate w.r.t. y

$$722y$$

Steps Using Definition of a Derivative

Multiply 0 and 49 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}y}(361y^{2}-0z^{2})$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}y}(361y^{2}-0)$$

Multiply -1 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}y}(361y^{2}+0)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}y}(361y^{2})$$

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

$$2\times 361y^{2-1}$$

Multiply 2 times 361.

$$722y^{2-1}$$

Subtract 1 from 2.

$$722y^{1}$$

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

$$722y$$