Solve f*(1/10)^2=

$$f \cdot ( \frac { 1 } { 10 } ) ^ { 2 } =$$

Differentiate w.r.t. f

$$\frac{1}{100} = 0.01$$

Steps Using Definition of a Derivative

Calculate \frac{1}{10} to the power of 2 and get \frac{1}{100}.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f\times \frac{1}{100})$$

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

$$\frac{1}{100}f^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{100}f^{0}$$

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

$$\frac{1}{100}\times 1$$

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

$$\frac{1}{100}$$

Evaluate

$$\frac{f}{100}$$

Solution Steps

Calculate \frac{1}{10} to the power of 2 and get \frac{1}{100}.

$$f\times \frac{1}{100}$$