Solve 10y^frac{1{2}}

$$10 y ^ { \frac { 1 } { 2 } }$$

Differentiate w.r.t. y

$$\frac{5}{\sqrt{y}}$$

Steps Using Definition of a Derivative

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

$$\frac{1}{2}\times 10y^{\frac{1}{2}-1}$$

Multiply \frac{1}{2} times 10.

$$5y^{\frac{1}{2}-1}$$

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

$$5y^{-\frac{1}{2}}$$

Evaluate

$$10\sqrt{y}$$