Solve r-4*5*5

$$r-4 \cdot 5 \cdot 5$$

Evaluate

$$r-100$$

Solution Steps

Multiply 4 and 5 to get 20.

$$r-20\times 5$$

Multiply 20 and 5 to get 100.

$$r-100$$

Differentiate w.r.t. r

$$1$$

Steps Using Derivative Rule for Sum

Multiply 4 and 5 to get 20.

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

Multiply 20 and 5 to get 100.

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

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$r^{1-1}$$

Subtract 1 from 1.

$$r^{0}$$

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

$$1$$