Solve e^ln(t)

$$e ^ { \ln ( t ) }$$

Differentiate w.r.t. t

$$1$$

Steps Using Definition of a Derivative

Apply rule a^{\log_{a}\left(b\right)}=b, where a=e and b=t.

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

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

$$t^{1-1}$$

Subtract 1 from 1.

$$t^{0}$$

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

$$1$$

Evaluate

$$t$$

Solution Steps

Apply rule a^{\log_{a}\left(b\right)}=b, where a=e and b=t.

$$t$$