Solve 9y*2y/6y

$$\frac { 9 y \times 2 y } { 6 y }$$

Evaluate

$$3y$$

Solution Steps

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

$$\frac{9y^{2}\times 2}{6y}$$

Cancel out 2\times 3y in both numerator and denominator.

$$3y$$

Differentiate w.r.t. y

$$3$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{18y}{6}y^{1-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}y}(3yy^{0})$$

For any number a except 0, a^{0}=1.

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

The derivative of a constant term is 0.

$$0$$