Solve 9/2y1/8

$$\frac { 9 } { 2 } y \frac { 1 } { 8 }$$

Evaluate

$$\frac{9y}{16}$$

Solution Steps

Multiply \frac{9}{2} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 1}{2\times 8}y$$

Do the multiplications in the fraction \frac{9\times 1}{2\times 8}.

$$\frac{9}{16}y$$

Differentiate w.r.t. y

$$\frac{9}{16} = 0.5625$$

Steps Using Definition of a Derivative

Multiply \frac{9}{2} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{9\times 1}{2\times 8}y)$$

Do the multiplications in the fraction \frac{9\times 1}{2\times 8}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{9}{16}y)$$

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

$$\frac{9}{16}y^{1-1}$$

Subtract 1 from 1.

$$\frac{9}{16}y^{0}$$

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

$$\frac{9}{16}\times 1$$

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

$$\frac{9}{16}$$