Solve 14y^2/8

$$\frac { 14 y ^ { 2 } } { 8 }$$

Differentiate w.r.t. y

$$\frac{7y}{2}$$

Steps Using Definition of a Derivative

Divide 14y^{2} by 8 to get \frac{7}{4}y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{7}{4}y^{2})$$

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

$$2\times \frac{7}{4}y^{2-1}$$

Multiply 2 times \frac{7}{4}.

$$\frac{7}{2}y^{2-1}$$

Subtract 1 from 2.

$$\frac{7}{2}y^{1}$$

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

$$\frac{7}{2}y$$

Evaluate

$$\frac{7y^{2}}{4}$$

Solution Steps

Divide 14y^{2} by 8 to get \frac{7}{4}y^{2}.

$$\frac{7}{4}y^{2}$$