Solve -2,50*10^-6C

$$- 2,50 \times 10 ^ { - 6 } C$$

Evaluate

$$-\frac{C}{400000}$$

Solution Steps

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

$$-2,5\times \frac{1}{1000000}C$$

Multiply -2,5 and \frac{1}{1000000} to get -\frac{1}{400000}.

$$-\frac{1}{400000}C$$

Differentiate w.r.t. C

$$-0,0000025$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}C}(-2,5\times \frac{1}{1000000}C)$$

Multiply -2,5 and \frac{1}{1000000} to get -\frac{1}{400000}.

$$\frac{\mathrm{d}}{\mathrm{d}C}(-\frac{1}{400000}C)$$

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

$$-\frac{1}{400000}C^{1-1}$$

Subtract 1 from 1.

$$-\frac{1}{400000}C^{0}$$

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

$$-\frac{1}{400000}$$