Solve r^4*t^0

$$r ^ { 4 } \times t ^ { 0 }$$

Evaluate

$$r^{4}$$

Solution Steps

Calculate t to the power of 0 and get 1.

$$r^{4}\times 1$$

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

$$r^{4}$$

Differentiate w.r.t. r

$$4r^{3}$$

Steps Using Definition of a Derivative

Calculate t to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}r}(r^{4}\times 1)$$

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

$$4r^{4-1}$$

Subtract 1 from 4.

$$4r^{3}$$