Solve 5a/d^2*4d/10a^6

$$\frac { 5 a } { d ^ { 2 } } \cdot \frac { 4 d } { 10 a ^ { 6 } }$$

Evaluate

$$\frac{2}{da^{5}}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{5a}{d^{2}}\times \frac{2d}{5a^{6}}$$

Multiply \frac{5a}{d^{2}} times \frac{2d}{5a^{6}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5a\times 2d}{d^{2}\times 5a^{6}}$$

Cancel out 5ad in both numerator and denominator.

$$\frac{2}{da^{5}}$$

Differentiate w.r.t. d

$$-\frac{2}{d^{2}a^{5}}$$