Solve x4^3

$$x { 4 }^{ 3 }$$

Differentiate w.r.t. x

$$64$$

Steps Using Definition of a Derivative

Calculate 4 to the power of 3 and get 64.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 64)$$

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

$$64x^{1-1}$$

Subtract 1 from 1.

$$64x^{0}$$

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

$$64\times 1$$

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

$$64$$

Evaluate

$$64x$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

$$x\times 64$$