Solve 3*18x*1=

$$3 \times 18x \times 1=$$

Evaluate

$$54x$$

Solution Steps

Multiply 3 and 18 to get 54.

$$54x\times 1$$

Multiply 54 and 1 to get 54.

$$54x$$

Differentiate w.r.t. x

$$54$$

Steps Using Definition of a Derivative

Multiply 3 and 18 to get 54.

$$\frac{\mathrm{d}}{\mathrm{d}x}(54x\times 1)$$

Multiply 54 and 1 to get 54.

$$\frac{\mathrm{d}}{\mathrm{d}x}(54x)$$

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

$$54x^{1-1}$$

Subtract 1 from 1.

$$54x^{0}$$

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

$$54\times 1$$

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

$$54$$