Solve 5Y*3*4

$$5 Y \times 3 \times 4$$

Evaluate

$$60Y$$

Solution Steps

Multiply 5 and 3 to get 15.

$$15Y\times 4$$

Multiply 15 and 4 to get 60.

$$60Y$$

Differentiate w.r.t. Y

$$60$$

Steps Using Definition of a Derivative

Multiply 5 and 3 to get 15.

$$\frac{\mathrm{d}}{\mathrm{d}Y}(15Y\times 4)$$

Multiply 15 and 4 to get 60.

$$\frac{\mathrm{d}}{\mathrm{d}Y}(60Y)$$

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

$$60Y^{1-1}$$

Subtract 1 from 1.

$$60Y^{0}$$

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

$$60\times 1$$

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

$$60$$