Solve Nquad|34|

$$N \quad | 34 |$$

Differentiate w.r.t. N

$$34$$

Steps Using Definition of a Derivative

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 34 is 34.

$$\frac{\mathrm{d}}{\mathrm{d}N}(N\times 34)$$

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

$$34N^{1-1}$$

Subtract 1 from 1.

$$34N^{0}$$

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

$$34\times 1$$

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

$$34$$

Evaluate

$$34N$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 34 is 34.

$$N\times 34$$