Solve 5x^2/6x^5*7/x

$$\frac { 5 x ^ { 2 } } { 6 x ^ { 5 } } \times \frac { 7 } { x }$$

Evaluate

$$\frac{35}{6x^{4}}$$

Solution Steps

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

$$\frac{5}{6x^{3}}\times \frac{7}{x}$$

Multiply \frac{5}{6x^{3}} times \frac{7}{x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 7}{6x^{3}x}$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$\frac{5\times 7}{6x^{4}}$$

Multiply 5 and 7 to get 35.

$$\frac{35}{6x^{4}}$$

Differentiate w.r.t. x

$$-\frac{70}{3x^{5}}$$