Solve 3.15x100*22*7.85

$$3.15x100 \times 22 \times 7.85$$

Evaluate

$$\frac{108801x_{100}}{200}$$

Solution Steps

Multiply 3.15 and 22 to get 69.3.

$$69.3x_{100}\times 7.85$$

Multiply 69.3 and 7.85 to get 544.005.

$$544.005x_{100}$$

Differentiate w.r.t. x_100

$$544.005$$

Steps Using Definition of a Derivative

Multiply 3.15 and 22 to get 69.3.

$$\frac{\mathrm{d}}{\mathrm{d}x_{100}}(69.3x_{100}\times 7.85)$$

Multiply 69.3 and 7.85 to get 544.005.

$$\frac{\mathrm{d}}{\mathrm{d}x_{100}}(544.005x_{100})$$

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

$$544.005x_{100}^{1-1}$$

Subtract 1 from 1.

$$544.005x_{100}^{0}$$

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

$$544.005\times 1$$

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

$$544.005$$