Solve V0,044*10^-9=

$$V 0,044 \cdot 10 ^ { - 9 } =$$

Evaluate

$$\frac{11V_{0}}{250000000000}$$

Solution Steps

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$V_{0}\times 0,044\times \frac{1}{1000000000}$$

Multiply 0,044 and \frac{1}{1000000000} to get \frac{11}{250000000000}.

$$V_{0}\times \frac{11}{250000000000}$$

Differentiate w.r.t. V_0

$$0,000000000044$$

Steps Using Definition of a Derivative

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}V_{0}}(V_{0}\times 0,044\times \frac{1}{1000000000})$$

Multiply 0,044 and \frac{1}{1000000000} to get \frac{11}{250000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}V_{0}}(V_{0}\times \frac{11}{250000000000})$$

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

$$\frac{11}{250000000000}V_{0}^{1-1}$$

Subtract 1 from 1.

$$\frac{11}{250000000000}V_{0}^{0}$$

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

$$\frac{11}{250000000000}\times 1$$

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

$$\frac{11}{250000000000}$$