Solve x/(15)^3

$$x / ( 15 ) ^ { 3 }$$

Differentiate w.r.t. x

$$\frac{1}{3375} = 0.0002962962962962963$$

Steps Using Definition of a Derivative

Calculate 15 to the power of 3 and get 3375.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{3375})$$

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

$$\frac{1}{3375}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{3375}x^{0}$$

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

$$\frac{1}{3375}\times 1$$

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

$$\frac{1}{3375}$$

Evaluate

$$\frac{x}{3375}$$

Solution Steps

Calculate 15 to the power of 3 and get 3375.

$$\frac{x}{3375}$$