Solve 0.75xdiv1/37

$$0.75 x \div \frac { 1 } { 37 }$$

Evaluate

$$\frac{111x}{4}$$

Solution Steps

Divide 0.75x by \frac{1}{37} by multiplying 0.75x by the reciprocal of \frac{1}{37}.

$$0.75x\times 37$$

Multiply 0.75 and 37 to get 27.75.

$$27.75x$$

Differentiate w.r.t. x

$$27.75$$

Steps Using Definition of a Derivative

Divide 0.75x by \frac{1}{37} by multiplying 0.75x by the reciprocal of \frac{1}{37}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0.75x\times 37)$$

Multiply 0.75 and 37 to get 27.75.

$$\frac{\mathrm{d}}{\mathrm{d}x}(27.75x)$$

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

$$27.75x^{1-1}$$

Subtract 1 from 1.

$$27.75x^{0}$$

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

$$27.75\times 1$$

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

$$27.75$$