Solve 431.25*53.6*0.125x

$$431.25 \times 53.6 \times 0.125x$$

Evaluate

$$\frac{23115x}{8}$$

Solution Steps

Multiply 431.25 and 53.6 to get 23115.

$$23115\times 0.125x$$

Multiply 23115 and 0.125 to get 2889.375.

$$2889.375x$$

Differentiate w.r.t. x

$$2889.375$$

Steps Using Definition of a Derivative

Multiply 431.25 and 53.6 to get 23115.

$$\frac{\mathrm{d}}{\mathrm{d}x}(23115\times 0.125x)$$

Multiply 23115 and 0.125 to get 2889.375.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2889.375x)$$

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

$$2889.375x^{1-1}$$

Subtract 1 from 1.

$$2889.375x^{0}$$

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

$$2889.375\times 1$$

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

$$2889.375$$