Solve 28/4x^3*4x^5/21*3/49x^4

$$\frac{ 28 }{ 4 { x }^{ 3 } } \times \frac { 4 { x }^{ 5 } } { 21 } \times \frac { 3 } { 49 { x }^{ 4 } }$$

Evaluate

$$\frac{4}{49x^{2}}$$

Solution Steps

Multiply \frac{28}{4x^{3}} times \frac{4x^{5}}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{28\times 4x^{5}}{4x^{3}\times 21}\times \frac{3}{49x^{4}}$$

Cancel out 4\times 7x^{3} in both numerator and denominator.

$$\frac{4x^{2}}{3}\times \frac{3}{49x^{4}}$$

Multiply \frac{4x^{2}}{3} times \frac{3}{49x^{4}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4x^{2}\times 3}{3\times 49x^{4}}$$

Cancel out 3x^{2} in both numerator and denominator.

$$\frac{4}{49x^{2}}$$

Differentiate w.r.t. x

$$-\frac{8}{49x^{3}}$$