Solve 1.5*3.7*y*45

$$1.5 \cdot 3.7 \cdot y \cdot 45$$

Evaluate

$$\frac{999y}{4}$$

Solution Steps

Multiply 1.5 and 3.7 to get 5.55.

$$5.55y\times 45$$

Multiply 5.55 and 45 to get 249.75.

$$249.75y$$

Differentiate w.r.t. y

$$249.75$$

Steps Using Definition of a Derivative

Multiply 1.5 and 3.7 to get 5.55.

$$\frac{\mathrm{d}}{\mathrm{d}y}(5.55y\times 45)$$

Multiply 5.55 and 45 to get 249.75.

$$\frac{\mathrm{d}}{\mathrm{d}y}(249.75y)$$

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

$$249.75y^{1-1}$$

Subtract 1 from 1.

$$249.75y^{0}$$

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

$$249.75\times 1$$

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

$$249.75$$