Solve 1*10^-6c^-1

$$1 \times 10 ^ { - 6 } c ^ { - 1 }$$

Evaluate

$$\frac{1}{1000000c}$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$1\times \frac{1}{1000000}c^{-1}$$

Multiply 1 and \frac{1}{1000000} to get \frac{1}{1000000}.

$$\frac{1}{1000000}c^{-1}$$

Differentiate w.r.t. c

$$-\frac{1}{1000000c^{2}}$$

Steps Using Definition of a Derivative

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\mathrm{d}}{\mathrm{d}c}(1\times \frac{1}{1000000}c^{-1})$$

Multiply 1 and \frac{1}{1000000} to get \frac{1}{1000000}.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{1}{1000000}c^{-1})$$

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

$$-\frac{1}{1000000}c^{-1-1}$$

Subtract 1 from -1.

$$-\frac{1}{1000000}c^{-2}$$