Solve 5^0x

$$5 ^ { 0 } x$$

Evaluate

$$x$$

Solution Steps

Calculate 5 to the power of 0 and get 1.

$$1x$$

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

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Calculate 5 to the power of 0 and get 1.

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

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

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$