Solve c*sqrt[3]{8}

$$c \cdot \sqrt[ 3 ] { 8 }$$

Differentiate w.r.t. c

$$2$$

Steps Using Definition of a Derivative

Calculate \sqrt[3]{8} and get 2.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c\times 2)$$

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

$$2c^{1-1}$$

Subtract 1 from 1.

$$2c^{0}$$

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

$$2\times 1$$

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

$$2$$

Evaluate

$$2c$$

Solution Steps

Calculate \sqrt[3]{8} and get 2.

$$c\times 2$$