Solve 1000x/36

$$\frac { 1000 x } { 36 }$$

Differentiate w.r.t. x

$$\frac{250}{9} = 27\frac{7}{9} = 27.77777777777778$$

Steps Using Definition of a Derivative

Divide 1000x by 36 to get \frac{250}{9}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{250}{9}x)$$

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

$$\frac{250}{9}x^{1-1}$$

Subtract 1 from 1.

$$\frac{250}{9}x^{0}$$

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

$$\frac{250}{9}\times 1$$

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

$$\frac{250}{9}$$

Evaluate

$$\frac{250x}{9}$$

Solution Steps

Divide 1000x by 36 to get \frac{250}{9}x.

$$\frac{250}{9}x$$