Solve frac{2x^{2}y^2z^2}{1x^2z^2y}

$$\frac { 2 x ^ { 2 } y ^ { 2 } z ^ { 2 } } { 1 x ^ { 2 } z ^ { 2 } y }$$

Differentiate w.r.t. y

$$2$$

Steps Using Definition of a Derivative

Cancel out yx^{2}z^{2} in both numerator and denominator.

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

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

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

Subtract 1 from 1.

$$2y^{0}$$

For any term t except 0, t^{0}=1.

$$2\times 1$$

For any term t, t\times 1=t and 1t=t.

$$2$$

Evaluate

$$2y$$

Solution Steps

Cancel out yx^{2}z^{2} in both numerator and denominator.

$$2y$$