Solve 375div1/x

$$375 \div \frac{ 1 }{ x }$$

Differentiate w.r.t. x

$$375$$

Steps Using Definition of a Derivative

Divide 375 by \frac{1}{x} by multiplying 375 by the reciprocal of \frac{1}{x}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(375x)$$

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

$$375x^{1-1}$$

Subtract 1 from 1.

$$375x^{0}$$

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

$$375\times 1$$

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

$$375$$

Evaluate

$$375x$$

Solution Steps

Divide 375 by \frac{1}{x} by multiplying 375 by the reciprocal of \frac{1}{x}.

$$375x$$