Solve 2x^2/4a*3x/2b

$$\frac { 2 x ^ { 2 } } { 4 a } \times \frac { 3 x } { 2 b }$$

Evaluate

$$\frac{3x^{3}}{4ab}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{x^{2}}{2a}\times \frac{3x}{2b}$$

Multiply \frac{x^{2}}{2a} times \frac{3x}{2b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x^{2}\times 3x}{2a\times 2b}$$

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

$$\frac{x^{3}\times 3}{2a\times 2b}$$

Multiply 2 and 2 to get 4.

$$\frac{x^{3}\times 3}{4ab}$$

Differentiate w.r.t. x

$$\frac{9x^{2}}{4ab}$$