Solve 4x/1!

$$\frac { 4 x } { 1 ! }$$

Evaluate

$$4x$$

Solution Steps

The factorial of 1 is 1.

$$\frac{4x}{1}$$

Anything divided by one gives itself.

$$4x$$

Differentiate w.r.t. x

$$4$$

Steps Using Definition of a Derivative

The factorial of 1 is 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4x}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x)$$

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

$$4x^{1-1}$$

Subtract 1 from 1.

$$4x^{0}$$

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

$$4\times 1$$

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

$$4$$