Solve 3^6t-t

$$3 ^ { 6 } t - t$$

Evaluate

$$728t$$

Solution Steps

Calculate 3 to the power of 6 and get 729.

$$729t-t$$

Combine 729t and -t to get 728t.

$$728t$$

Differentiate w.r.t. t

$$728$$

Steps Using Definition of a Derivative

Calculate 3 to the power of 6 and get 729.

$$\frac{\mathrm{d}}{\mathrm{d}t}(729t-t)$$

Combine 729t and -t to get 728t.

$$\frac{\mathrm{d}}{\mathrm{d}t}(728t)$$

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

$$728t^{1-1}$$

Subtract 1 from 1.

$$728t^{0}$$

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

$$728\times 1$$

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

$$728$$