Solve θ(3)^66

$$\theta ( 3 ) ^ { 66 }$$

Differentiate w.r.t. θ

$$30903154382632612361920641803529$$

Steps Using Definition of a Derivative

Calculate 3 to the power of 66 and get 30903154382632612361920641803529.

$$\frac{\mathrm{d}}{\mathrm{d}\theta }(\theta \times 30903154382632612361920641803529)$$

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

$$30903154382632612361920641803529\theta ^{1-1}$$

Subtract 1 from 1.

$$30903154382632612361920641803529\theta ^{0}$$

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

$$30903154382632612361920641803529\times 1$$

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

$$30903154382632612361920641803529$$

Evaluate

$$30903154382632612361920641803529\theta$$

Solution Steps

Calculate 3 to the power of 66 and get 30903154382632612361920641803529.

$$\theta \times 30903154382632612361920641803529$$