Solve N(1/8)^-2

$$N ( \frac { 1 } { 8 } ) ^ { - 2 }$$

Differentiate w.r.t. N

$$64$$

Steps Using Definition of a Derivative

Calculate \frac{1}{8} to the power of -2 and get 64.

$$\frac{\mathrm{d}}{\mathrm{d}N}(N\times 64)$$

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

$$64N^{1-1}$$

Subtract 1 from 1.

$$64N^{0}$$

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

$$64\times 1$$

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

$$64$$

Evaluate

$$64N$$

Solution Steps

Calculate \frac{1}{8} to the power of -2 and get 64.

$$N\times 64$$