Solve r*(-4)*5*5

$$r \cdot ( - 4 ) \cdot 5 \cdot 5$$

Evaluate

$$-100r$$

Solution Steps

Multiply -4 and 5 to get -20.

$$r\left(-20\right)\times 5$$

Multiply -20 and 5 to get -100.

$$r\left(-100\right)$$

Differentiate w.r.t. r

$$-100$$

Steps Using Definition of a Derivative

Multiply -4 and 5 to get -20.

$$\frac{\mathrm{d}}{\mathrm{d}r}(r\left(-20\right)\times 5)$$

Multiply -20 and 5 to get -100.

$$\frac{\mathrm{d}}{\mathrm{d}r}(r\left(-100\right))$$

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

$$-100r^{1-1}$$

Subtract 1 from 1.

$$-100r^{0}$$

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

$$-100$$