Solve 2y^frac{1{2}}div2y

$$2 y ^ { \frac { 1 } { 2 } } \div 2 y$$

Differentiate w.r.t. y

$$\frac{3\sqrt{y}}{2}$$

Steps Using Definition of a Derivative

Cancel out 2 and 2.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{\frac{1}{2}}y)$$

To multiply powers of the same base, add their exponents. Add \frac{1}{2} and 1 to get \frac{3}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{\frac{3}{2}})$$

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

$$\frac{3}{2}y^{\frac{3}{2}-1}$$

Subtract 1 from \frac{3}{2}.

$$\frac{3}{2}\sqrt{y}$$

Evaluate

$$y^{\frac{3}{2}}$$