Solve 2^4c_{1}

$$2 ^ { 4 } c _ { 1 }$$

Differentiate w.r.t. c_1

$$16$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 4 and get 16.

$$\frac{\mathrm{d}}{\mathrm{d}c_{1}}(16c_{1})$$

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

$$16c_{1}^{1-1}$$

Subtract 1 from 1.

$$16c_{1}^{0}$$

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

$$16\times 1$$

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

$$16$$

Evaluate

$$16c_{1}$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$16c_{1}$$