Solve (3x+01y)

$$( 3 x + 01 y )$$

Evaluate

$$3x$$

Solution Steps

Multiply 0 and 1 to get 0.

$$3x+0y$$

Anything times zero gives zero.

$$3x+0$$

Anything plus zero gives itself.

$$3x$$

Differentiate w.r.t. x

$$3$$

Steps Using Definition of a Derivative

Multiply 0 and 1 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x+0y)$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x+0)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x)$$

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

$$3x^{1-1}$$

Subtract 1 from 1.

$$3x^{0}$$

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

$$3\times 1$$

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

$$3$$