Solve g(2*8)*5*125*10=

$$g ( 2 \cdot 8 ) \cdot 5 \cdot 125 \cdot 10 =$$

Evaluate

$$100000g$$

Solution Steps

Multiply 2 and 8 to get 16.

$$g\times 16\times 5\times 125\times 10$$

Multiply 16 and 5 to get 80.

$$g\times 80\times 125\times 10$$

Multiply 80 and 125 to get 10000.

$$g\times 10000\times 10$$

Multiply 10000 and 10 to get 100000.

$$g\times 100000$$

Differentiate w.r.t. g

$$100000$$

Steps Using Definition of a Derivative

Multiply 2 and 8 to get 16.

$$\frac{\mathrm{d}}{\mathrm{d}g}(g\times 16\times 5\times 125\times 10)$$

Multiply 16 and 5 to get 80.

$$\frac{\mathrm{d}}{\mathrm{d}g}(g\times 80\times 125\times 10)$$

Multiply 80 and 125 to get 10000.

$$\frac{\mathrm{d}}{\mathrm{d}g}(g\times 10000\times 10)$$

Multiply 10000 and 10 to get 100000.

$$\frac{\mathrm{d}}{\mathrm{d}g}(g\times 100000)$$

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

$$100000g^{1-1}$$

Subtract 1 from 1.

$$100000g^{0}$$

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

$$100000\times 1$$

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

$$100000$$