Solve 3.75div1/x

$$3.75 \div \frac{ 1 }{ x }$$

Differentiate w.r.t. x

$$3.75$$

Steps Using Definition of a Derivative

Divide 3.75 by \frac{1}{x} by multiplying 3.75 by the reciprocal of \frac{1}{x}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3.75x)$$

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

$$3.75x^{1-1}$$

Subtract 1 from 1.

$$3.75x^{0}$$

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

$$3.75\times 1$$

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

$$3.75$$

Evaluate

$$\frac{15x}{4}$$

Solution Steps

Divide 3.75 by \frac{1}{x} by multiplying 3.75 by the reciprocal of \frac{1}{x}.

$$3.75x$$