Solve 7(5c)?

$$7 ( 5 c ) ?$$

Differentiate w.r.t. c

$$35$$

Steps Using Definition of a Derivative

Multiply 7 and 5 to get 35.

$$\frac{\mathrm{d}}{\mathrm{d}c}(35c)$$

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

$$35c^{1-1}$$

Subtract 1 from 1.

$$35c^{0}$$

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

$$35\times 1$$

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

$$35$$

Evaluate

$$35c$$

Solution Steps

Multiply 7 and 5 to get 35.

$$35c$$