Solve C5^4

$$C 5 ^ { 4 }$$

Differentiate w.r.t. C

$$625$$

Steps Using Definition of a Derivative

Calculate 5 to the power of 4 and get 625.

$$\frac{\mathrm{d}}{\mathrm{d}C}(C\times 625)$$

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

$$625C^{1-1}$$

Subtract 1 from 1.

$$625C^{0}$$

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

$$625\times 1$$

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

$$625$$

Evaluate

$$625C$$

Solution Steps

Calculate 5 to the power of 4 and get 625.

$$C\times 625$$