Solve 56(32)*9y=

$$56 ( 32 ) \times 9 y =$$

Evaluate

$$16128y$$

Solution Steps

Multiply 56 and 32 to get 1792.

$$1792\times 9y$$

Multiply 1792 and 9 to get 16128.

$$16128y$$

Differentiate w.r.t. y

$$16128$$

Steps Using Definition of a Derivative

Multiply 56 and 32 to get 1792.

$$\frac{\mathrm{d}}{\mathrm{d}y}(1792\times 9y)$$

Multiply 1792 and 9 to get 16128.

$$\frac{\mathrm{d}}{\mathrm{d}y}(16128y)$$

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

$$16128y^{1-1}$$

Subtract 1 from 1.

$$16128y^{0}$$

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

$$16128\times 1$$

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

$$16128$$