Solve 4*0+3x_{2}

$$4 \times 0 + 3 x _ { 2 }$$

Evaluate

$$3x_{2}$$

Solution Steps

Multiply 4 and 0 to get 0.

$$0+3x_{2}$$

Anything plus zero gives itself.

$$3x_{2}$$

Differentiate w.r.t. x_2

$$3$$

Steps Using Definition of a Derivative

Multiply 4 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x_{2}}(0+3x_{2})$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x_{2}}(3x_{2})$$

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

$$3x_{2}^{1-1}$$

Subtract 1 from 1.

$$3x_{2}^{0}$$

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

$$3\times 1$$

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

$$3$$