Solve a/4*a/r*a/b

$$\frac { a } { 4 } \cdot \frac { a } { r } \cdot \frac { a } { b }$$

Evaluate

$$\frac{a^{3}}{4br}$$

Solution Steps

Multiply \frac{a}{4} times \frac{a}{r} by multiplying numerator times numerator and denominator times denominator.

$$\frac{aa}{4r}\times \frac{a}{b}$$

Multiply \frac{aa}{4r} times \frac{a}{b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{aaa}{4rb}$$

Multiply a and a to get a^{2}.

$$\frac{a^{2}a}{4rb}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{a^{3}}{4rb}$$

Differentiate w.r.t. a

$$\frac{3a^{2}}{4br}$$