Solve 8.5N*5.5N

$$8.5 N \times 5.5 N$$

Evaluate

$$\frac{187N^{2}}{4}$$

Solution Steps

Multiply N and N to get N^{2}.

$$8.5N^{2}\times 5.5$$

Multiply 8.5 and 5.5 to get 46.75.

$$46.75N^{2}$$

Differentiate w.r.t. N

$$\frac{187N}{2}$$

Steps Using Definition of a Derivative

Multiply N and N to get N^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}N}(8.5N^{2}\times 5.5)$$

Multiply 8.5 and 5.5 to get 46.75.

$$\frac{\mathrm{d}}{\mathrm{d}N}(46.75N^{2})$$

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

$$2\times 46.75N^{2-1}$$

Multiply 2 times 46.75.

$$93.5N^{2-1}$$

Subtract 1 from 2.

$$93.5N^{1}$$

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

$$93.5N$$