Solve 6.02214076*10^23c

$$6.02214076 \times 10 ^ { 23 } c$$

Evaluate

$$602214076000000000000000c$$

Solution Steps

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$6.02214076\times 100000000000000000000000c$$

Multiply 6.02214076 and 100000000000000000000000 to get 602214076000000000000000.

$$602214076000000000000000c$$

Differentiate w.r.t. c

$$602214076000000000000000$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}c}(6.02214076\times 100000000000000000000000c)$$

Multiply 6.02214076 and 100000000000000000000000 to get 602214076000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}c}(602214076000000000000000c)$$

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

$$602214076000000000000000c^{1-1}$$

Subtract 1 from 1.

$$602214076000000000000000c^{0}$$

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

$$602214076000000000000000\times 1$$

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

$$602214076000000000000000$$