Solve q^1-1^093

$$q ^ { 1 } - 1 ^ { 093 }$$

Evaluate

$$q-1$$

Solution Steps

Calculate q to the power of 1 and get q.

$$q-1^{0\times 93}$$

Multiply 0 and 93 to get 0.

$$q-1^{0}$$

Calculate 1 to the power of 0 and get 1.

$$q-1$$

Differentiate w.r.t. q

$$1$$

Steps Using Derivative Rule for Sum

Calculate q to the power of 1 and get q.

$$\frac{\mathrm{d}}{\mathrm{d}q}(q-1^{0\times 93})$$

Multiply 0 and 93 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}q}(q-1^{0})$$

Calculate 1 to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}q}(q-1)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$q^{1-1}$$

Subtract 1 from 1.

$$q^{0}$$

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

$$1$$