Solve -1^0C-10^0C

$$- 1 ^ { 0 } C - 10 ^ { 0 } C$$

Evaluate

$$-2C$$

Solution Steps

Calculate 1 to the power of 0 and get 1.

$$-C-10^{0}C$$

Calculate 10 to the power of 0 and get 1.

$$-C-C$$

Combine -C and -C to get -2C.

$$-2C$$

Differentiate w.r.t. C

$$-2$$

Steps Using Definition of a Derivative

Calculate 1 to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}C}(-C-10^{0}C)$$

Calculate 10 to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}C}(-C-C)$$

Combine -C and -C to get -2C.

$$\frac{\mathrm{d}}{\mathrm{d}C}(-2C)$$

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

$$-2C^{1-1}$$

Subtract 1 from 1.

$$-2C^{0}$$

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

$$-2$$