Solve C/1*10^-12

$$\frac { C } { 1 \cdot 10 ^ { - 12 } }$$

Evaluate

$$1000000000000C$$

Solution Steps

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$\frac{C}{1\times \frac{1}{1000000000000}}$$

Multiply 1 and \frac{1}{1000000000000} to get \frac{1}{1000000000000}.

$$\frac{C}{\frac{1}{1000000000000}}$$

Divide C by \frac{1}{1000000000000} by multiplying C by the reciprocal of \frac{1}{1000000000000}.

$$C\times 1000000000000$$

Differentiate w.r.t. C

$$1000000000000$$

Steps Using Definition of a Derivative

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}C}(\frac{C}{1\times \frac{1}{1000000000000}})$$

Multiply 1 and \frac{1}{1000000000000} to get \frac{1}{1000000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}C}(\frac{C}{\frac{1}{1000000000000}})$$

Divide C by \frac{1}{1000000000000} by multiplying C by the reciprocal of \frac{1}{1000000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}C}(C\times 1000000000000)$$

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

$$1000000000000C^{1-1}$$

Subtract 1 from 1.

$$1000000000000C^{0}$$

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

$$1000000000000\times 1$$

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

$$1000000000000$$